Question : Find the fourth proportion for 15, 55, and 81.
Option 1: 231
Option 2: 297
Option 3: 335
Option 4: 313
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Correct Answer: 297
Solution :
Assuming the fourth proportion is $x$.
15 : 55 :: 81 : $x$
⇒ $\frac{15}{55}$ = $\frac{81}{x}$
⇒ $x$ = $\frac{81×55}{15}$
⇒ $x$ = 297
Hence, the correct answer is 297.
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