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Finding the Fourth Proportional to 363.31, 545.02 and 180.71

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Solution

The fourth proportional to 363.31, 545.02 and 180.71 is: 271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.31 : 545.02 = 180.71 : x
  2. Step 2: Convert to fraction form
    363.31/545.02 = 180.71/x
  3. Step 3: Cross multiply
    363.31x = 545.02 × 180.71
  4. Step 4: Simplify right side
    363.31x = 98,490.56
  5. Step 5: Solve for x
    x = 98,490.56/363.31
  6. Step 6: Final answer
    x = 271.09

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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.