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Finding the Fourth Proportional to 221.18, 331.97 and 139.77

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Solution

The fourth proportional to 221.18, 331.97 and 139.77 is: 209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.18 : 331.97 = 139.77 : x
  2. Step 2: Convert to fraction form
    221.18/331.97 = 139.77/x
  3. Step 3: Cross multiply
    221.18x = 331.97 × 139.77
  4. Step 4: Simplify right side
    221.18x = 46,398.75
  5. Step 5: Solve for x
    x = 46,398.75/221.18
  6. Step 6: Final answer
    x = 209.78

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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.