Finding the Fourth Proportional to 197.24, 272.26 and 119.64
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Solution
The fourth proportional to 197.24, 272.26 and 119.64 is: 165.14
Step by Step Solution
- Step 1: Write the proportion equation
197.24 : 272.26 = 119.64 : x - Step 2: Convert to fraction form
197.24/272.26 = 119.64/x - Step 3: Cross multiply
197.24x = 272.26 × 119.64 - Step 4: Simplify right side
197.24x = 32,573.19 - Step 5: Solve for x
x = 32,573.19/197.24 - Step 6: Final answer
x = 165.14
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.