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Finding the Fourth Proportional to 363.97, 545.37 and 226.99

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Solution

The fourth proportional to 363.97, 545.37 and 226.99 is: 340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.97 : 545.37 = 226.99 : x
  2. Step 2: Convert to fraction form
    363.97/545.37 = 226.99/x
  3. Step 3: Cross multiply
    363.97x = 545.37 × 226.99
  4. Step 4: Simplify right side
    363.97x = 123,793.54
  5. Step 5: Solve for x
    x = 123,793.54/363.97
  6. Step 6: Final answer
    x = 340.12

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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.