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Finding the Fourth Proportional to 363.50, 545.18 and 120.03

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Solution

The fourth proportional to 363.50, 545.18 and 120.03 is: 180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 545.18 = 120.03 : x
  2. Step 2: Convert to fraction form
    363.50/545.18 = 120.03/x
  3. Step 3: Cross multiply
    363.50x = 545.18 × 120.03
  4. Step 4: Simplify right side
    363.50x = 65,437.96
  5. Step 5: Solve for x
    x = 65,437.96/363.50
  6. Step 6: Final answer
    x = 180.02

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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.