Find the fourth proportional to m + 3, m + 7 and 15 m if m = 3.
75
The correct answer is 75.
From \frac{a}{b} = \frac{b}{c}, we get b^2 = ac, so b = \sqrt{ac}. The mean proportional is the geometric mean of a and c. Continued Proportion: When a, b, c, d, ... are in continued proportion, it means a:b :: b:c :: c:d :: .... Understanding these different types of proportion helps in solving various problems involving ratios and relationships between quantities.
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