Question : If 16 : $x$ :: $x$ : 196, find the positive value of $x$?
Option 1: 60
Option 2: 62
Option 3: 56
Option 4: 64
Correct Answer: 56
Solution :
Given,
16 : $x$ :: $x$ : 196
⇒ $\frac{16}{x}=\frac{x}{196}$
⇒ $x^2=16\times196$
⇒ $x=4\times 14$
⇒ $x=56$
Hence, the correct answer is 56.
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