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Finding the Fourth Proportional to 363.92, 545.42 and 178.87

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Solution

The fourth proportional to 363.92, 545.42 and 178.87 is: 268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.92 : 545.42 = 178.87 : x
  2. Step 2: Convert to fraction form
    363.92/545.42 = 178.87/x
  3. Step 3: Cross multiply
    363.92x = 545.42 × 178.87
  4. Step 4: Simplify right side
    363.92x = 97,559.28
  5. Step 5: Solve for x
    x = 97,559.28/363.92
  6. Step 6: Final answer
    x = 268.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.