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Finding the Fourth Proportional to 363.50, 545.22 and 180.83

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Solution

The fourth proportional to 363.50, 545.22 and 180.83 is: 271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 545.22 = 180.83 : x
  2. Step 2: Convert to fraction form
    363.50/545.22 = 180.83/x
  3. Step 3: Cross multiply
    363.50x = 545.22 × 180.83
  4. Step 4: Simplify right side
    363.50x = 98,592.13
  5. Step 5: Solve for x
    x = 98,592.13/363.50
  6. Step 6: Final answer
    x = 271.23

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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.