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Finding the Fourth Proportional to 363.78, 545.65 and 155.57

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Solution

The fourth proportional to 363.78, 545.65 and 155.57 is: 233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.78 : 545.65 = 155.57 : x
  2. Step 2: Convert to fraction form
    363.78/545.65 = 155.57/x
  3. Step 3: Cross multiply
    363.78x = 545.65 × 155.57
  4. Step 4: Simplify right side
    363.78x = 84,883.65
  5. Step 5: Solve for x
    x = 84,883.65/363.78
  6. Step 6: Final answer
    x = 233.34

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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.