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Finding the Fourth Proportional to 219.48, 329.24 and 75.24

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Solution

The fourth proportional to 219.48, 329.24 and 75.24 is: 112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.48 : 329.24 = 75.24 : x
  2. Step 2: Convert to fraction form
    219.48/329.24 = 75.24/x
  3. Step 3: Cross multiply
    219.48x = 329.24 × 75.24
  4. Step 4: Simplify right side
    219.48x = 24,772.02
  5. Step 5: Solve for x
    x = 24,772.02/219.48
  6. Step 6: Final answer
    x = 112.87

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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.