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Finding the Fourth Proportional to 363.89, 545.71 and 120.35

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Solution

The fourth proportional to 363.89, 545.71 and 120.35 is: 180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.89 : 545.71 = 120.35 : x
  2. Step 2: Convert to fraction form
    363.89/545.71 = 120.35/x
  3. Step 3: Cross multiply
    363.89x = 545.71 × 120.35
  4. Step 4: Simplify right side
    363.89x = 65,673.17
  5. Step 5: Solve for x
    x = 65,673.17/363.89
  6. Step 6: Final answer
    x = 180.48

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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.