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Finding the Fourth Proportional to 363.82, 545.54 and 120.30

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Solution

The fourth proportional to 363.82, 545.54 and 120.30 is: 180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.82 : 545.54 = 120.30 : x
  2. Step 2: Convert to fraction form
    363.82/545.54 = 120.30/x
  3. Step 3: Cross multiply
    363.82x = 545.54 × 120.30
  4. Step 4: Simplify right side
    363.82x = 65,628.46
  5. Step 5: Solve for x
    x = 65,628.46/363.82
  6. Step 6: Final answer
    x = 180.39

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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.