State whether the following statement is true or false
$250 c m : 500 c m : : 200 g : 400 g$

True

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False

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Solution

The correct option is A True
Step-1: write $a, b, c a n d d$ from $250 c m : 500 c m : : 200 g : 400 g$ as it is written $a : b : : c : d$
Here, $a = 250 c m$ $b = 500 c m$ $c = 200 g$ $d = 400 g$
Step-3: check whether $a \times d = c \times b$ or $n o t$
$a \times d = 250 \times 400 = 1, 00, 000$
$c \times b = 200 \times 500 = 1, 00, 000$
Here, $1, 00, 000 = 1, 00, 000$
$a \times d = c \times b$
So, $250 c m : 500 c m : : 200 g : 400 g$ are in proportion
Hence, the given statement is true.

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