Question : Directions: In the following question, select the related number from the given alternatives. $\frac{1}{4}: \frac{1}{8}:: \frac{2}{3} :\ ?$
Option 1: $\frac{1}{3}$
Option 2: $\frac{1}{2}$
Option 3: 1
Option 4: $\frac{1}{4}$
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Correct Answer: $\frac{1}{3}$
Solution : Given: $\frac{1}{4}: \frac{1}{8}:: \frac{2}{3} :\ ?$
Multiply the first number by $\frac{1}{2}$ to obtain the second number of each pair. Like, $\frac{1}{4}: \frac{1}{8}$→$\frac{1}{4}$ × $\frac{1}{2}$ = $\frac{1}{8}$ Similarly, follow the same pattern for $\frac{2}{3} :\ ?$→$\frac{2}{3}$ × $\frac{1}{2}$ = $\frac{1}{3}$
So, $\frac{2}{3}$ is related to $\frac{1}{3}$. Hence, the first option is correct.
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