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Finding the Fourth Proportional to 363.84, 545.92 and 120.40

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Solution

The fourth proportional to 363.84, 545.92 and 120.40 is: 180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 545.92 = 120.40 : x
  2. Step 2: Convert to fraction form
    363.84/545.92 = 120.40/x
  3. Step 3: Cross multiply
    363.84x = 545.92 × 120.40
  4. Step 4: Simplify right side
    363.84x = 65,728.77
  5. Step 5: Solve for x
    x = 65,728.77/363.84
  6. Step 6: Final answer
    x = 180.65

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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.