If 162 x x 338 find the posite value of x ........

Quantitative Aptitude (MTS) Ratio, Proportion

If 162 : x :: x : 338 find the posite value of x.

This questions was previously asked in

SSC MTS 6th July 2022 Shift-2

250

300

234

318

- We are given a proportion: \( 162 : x :: x : 338 \). This matches the mathematical statement \( \frac{162}{x} = \frac{x}{338} \).

- To solve for \( x \), set up the equation: \( 162 \times 338 = x \times x \). This implies \( x^2 = 162 \times 338 \).

- Calculate the product: \( 162 \times 338 = 54756 \).

- Take the square root of both sides: \( x = \sqrt{54756} \).

- Calculate the square root: \( x = 234 \).

- Option 1: 250 - Not the correct answer.

- Option 2: 300 - Not the correct answer.

- Option 3: 234 - Correct answer.

- Option 4: 318 - Not the correct answer.

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