Finding the Fourth Proportional to 542.28, 813.50 and 157.48
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Solution
The fourth proportional to 542.28, 813.50 and 157.48 is: 236.24
Step by Step Solution
- Step 1: Write the proportion equation
542.28 : 813.50 = 157.48 : x - Step 2: Convert to fraction form
542.28/813.50 = 157.48/x - Step 3: Cross multiply
542.28x = 813.50 × 157.48 - Step 4: Simplify right side
542.28x = 128,109.98 - Step 5: Solve for x
x = 128,109.98/542.28 - Step 6: Final answer
x = 236.24
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.