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Finding the Fourth Proportional to 221.28, 330 and 217.44

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Solution

The fourth proportional to 221.28, 330 and 217.44 is: 324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.28 : 330 = 217.44 : x
  2. Step 2: Convert to fraction form
    221.28/330 = 217.44/x
  3. Step 3: Cross multiply
    221.28x = 330 × 217.44
  4. Step 4: Simplify right side
    221.28x = 71,755.20
  5. Step 5: Solve for x
    x = 71,755.20/221.28
  6. Step 6: Final answer
    x = 324.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.