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Finding the Fourth Proportional to 363.32, 545.00 and 180.50

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Solution

The fourth proportional to 363.32, 545.00 and 180.50 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.32 : 545.00 = 180.50 : x
  2. Step 2: Convert to fraction form
    363.32/545.00 = 180.50/x
  3. Step 3: Cross multiply
    363.32x = 545.00 × 180.50
  4. Step 4: Simplify right side
    363.32x = 98,374.99
  5. Step 5: Solve for x
    x = 98,374.99/363.32
  6. Step 6: Final answer
    x = 270.76

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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.