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Finding the Fourth Proportional to 220.75, 331.30 and 83.89

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Solution

The fourth proportional to 220.75, 331.30 and 83.89 is: 125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.75 : 331.30 = 83.89 : x
  2. Step 2: Convert to fraction form
    220.75/331.30 = 83.89/x
  3. Step 3: Cross multiply
    220.75x = 331.30 × 83.89
  4. Step 4: Simplify right side
    220.75x = 27,793.10
  5. Step 5: Solve for x
    x = 27,793.10/220.75
  6. Step 6: Final answer
    x = 125.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.