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Finding the Fourth Proportional to 542.38, 813.75 and 177.42

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Solution

The fourth proportional to 542.38, 813.75 and 177.42 is: 266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.38 : 813.75 = 177.42 : x
  2. Step 2: Convert to fraction form
    542.38/813.75 = 177.42/x
  3. Step 3: Cross multiply
    542.38x = 813.75 × 177.42
  4. Step 4: Simplify right side
    542.38x = 144,375.53
  5. Step 5: Solve for x
    x = 144,375.53/542.38
  6. Step 6: Final answer
    x = 266.19

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Similar ratio
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1.5x scale

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.