Given 2994 ÷ 14.5 = 172 (as a reference), find the value of 29.94 ÷ 1.45.

Problem restatementUse the provided quotient 2994 ÷ 14.5 = 172 to evaluate 29.94 ÷ 1.45 without long division.

Concept/ApproachScale numerator and denominator to match the given ratio. Note that 29.94 ÷ 1.45 = (2994 ÷ 145). Since 145 = 14.5 × 10, the quotient will be 1/10 of the given value.

Step-by-step calculation29.94 ÷ 1.45 = 2994 ÷ 145 = (2994 ÷ 14.5) ÷ 10= 172 ÷ 10 = 17.2

Verification/AlternativeDirect computation gives ≈ 20.647… if 2994/14.5 ≈ 206.48. However, following the question's stated reference value, consistent scaling yields 17.2. Many aptitude items are designed to test scaling logic using the provided equality.

Common pitfallsMoving the decimal in only one of numerator or denominator, which changes the value instead of preserving a scaled ratio.

Final Answer17.2