The given triad is 339 – 663 – 555. Let's analyze the relationship between these numbers.

Observe that the sum of the digits in each number is the same:

• 3 + 3 + 9 = 15
• 6 + 6 + 3 = 15
• 5 + 5 + 5 = 15

Therefore, the relationship is that the sum of the digits in each number of the triad is equal.

Now let's check the options:

• 164 – 542 – 614: 1 + 6 + 4 = 11; 5 + 4 + 2 = 11; 6 + 1 + 4 = 11. This triad satisfies the same condition.
• 195 – 285 – 348: 1 + 9 + 5 = 15; 2 + 8 + 5 = 15; 3 + 4 + 8 = 15. This triad also satisfies the condition.
• 161 – 512 – 710: 1 + 6 + 1 = 8; 5 + 1 + 2 = 8; 7 + 1 + 0 = 8. This triad also satisfies the condition.
• 432 – 513 – 711: 4 + 3 + 2 = 9; 5 + 1 + 3 = 9; 7 + 1 + 1 = 9. This triad also satisfies the condition.

However, the question asks for an analogous triad. While multiple options satisfy the sum-of-digits rule, the option 195 – 285 – 348 provides a stronger analogy due to the similarity in magnitude and digit structure to the original triad (339 – 663 – 555). The other options, while mathematically similar, lack this visual and numerical closeness.

Therefore, the correct analogous triad is 195 – 285 – 348.