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Finding the Fourth Proportional to 363.48, 545.22 and 180.80

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Solution

The fourth proportional to 363.48, 545.22 and 180.80 is: 271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.48 : 545.22 = 180.80 : x
  2. Step 2: Convert to fraction form
    363.48/545.22 = 180.80/x
  3. Step 3: Cross multiply
    363.48x = 545.22 × 180.80
  4. Step 4: Simplify right side
    363.48x = 98,575.78
  5. Step 5: Solve for x
    x = 98,575.78/363.48
  6. Step 6: Final answer
    x = 271.20

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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.