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Question : If $256, K, K, 81$ are in proportion, and $K$ is positive, then what is the value of $K$?

Option 1: 156

Option 2: 126

Option 3: 144

Option 4: 164


Team Careers360 1st Jan, 2024
Answer (1)
Team Careers360 11th Jan, 2024

Correct Answer: 144


Solution : Given: $256, K, K, 81$ are in proportion, and $K$ is positive.
Use the formula, Mean proportional = $\sqrt{ab}$ where $a$, and $b$ are the numbers.
According to the question,
$K=\sqrt{81\times 256}$
$\therefore K=9\times 16=144$
Hence, the correct answer is 144.

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