If 16 X X 196 find the positive value of x ........

Quantitative Aptitude (MTS) Ratio, Proportion

If 16: X :: X 196, find the positive value of x?

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SSC MTS 12th July 2022 Shift-1

To solve for the positive value of X in the proportion 16: X :: X : 196, we can use cross-multiplication.

- Start with the proportion: \(\frac{16}{X} = \frac{X}{196}\).

- Cross multiply: \(16 \cdot 196 = X \cdot X\).

- Simplify to find: \(3144 = X^2\).

- Take the square root to solve for X: \(X = \sqrt{3144}\).

- Calculate the square root: \(X ˜ 56\).

Correct Answer: Option 3: 56

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