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Finding the Fourth Proportional to 220.38, 329.86 and 187.57

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Solution

The fourth proportional to 220.38, 329.86 and 187.57 is: 280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.38 : 329.86 = 187.57 : x
  2. Step 2: Convert to fraction form
    220.38/329.86 = 187.57/x
  3. Step 3: Cross multiply
    220.38x = 329.86 × 187.57
  4. Step 4: Simplify right side
    220.38x = 61,871.84
  5. Step 5: Solve for x
    x = 61,871.84/220.38
  6. Step 6: Final answer
    x = 280.75

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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.