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Find the unknown value of x: 7 : 8 :: 196 : x

A. 224
B. 226
C. 228
D. 232
Correct Answer: A. 224

Correct answer: 224. In a proportion, 7 × x = 8 × 196, so x = 1568 ÷ 7 = 224.

Background: In a : b :: c : d, we have a × d = b × c.

  • 226: 226 does not satisfy the proportion.
  • 228: 228 does not satisfy the proportion.
  • 232: 232 does not satisfy the proportion.

Did you know? 196 ÷ 7 = 28, and 8 × 28 = 224.

Memory trick: Cross-multiply.

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