Let's find the word that has a similar meaning (is a synonym) to the word "subsidize". To do this, we need to understand the meaning of "subsidize" and the meanings of the given options.

Understanding the word 'Subsidize'

The word subsidize means to support an organization or activity financially. It often involves a government or larger body providing money to help something continue or be cheaper.

Think of it as providing a subsidy, which is a sum of money granted by the state or a public body to help an industry or business keep the price of a commodity or service low.

Analyzing the Synonym Options

Let's look at the meaning of each option:

• Arbitrary: This means based on random choice or personal whim, rather than any reason or system. It implies something done without a clear plan or justification.
• Waggish: This describes someone or something that is humorous in a playful, mischievous, or facetious manner. It relates to being funny or jocular.
• Erratic: This means not regular in pattern or movement; unpredictable. It suggests inconsistency or a lack of steadiness.
• Contribute: This means to give (something, especially money) in order to help achieve or provide something. It involves providing support or resources towards a common goal or cause.

Identifying the Correct Synonym

We are looking for a word that is similar in meaning to "subsidize," which is primarily about providing financial support or help. Comparing the options:

• "Arbitrary" is about randomness, not support.
• "Waggish" is about humor, not support.
• "Erratic" is about unpredictability, not support.
• "Contribute" is about giving help, often financial, to support something.

The meaning of contribute, particularly in the sense of giving money or resources to help, aligns closely with the meaning of subsidize, which is to provide financial support.

Therefore, contribute is the most fitting synonym among the given options for the word subsidize.