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Finding the Fourth Proportional to 252.41, 379.49 and 220.55

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Solution

The fourth proportional to 252.41, 379.49 and 220.55 is: 331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.41 : 379.49 = 220.55 : x
  2. Step 2: Convert to fraction form
    252.41/379.49 = 220.55/x
  3. Step 3: Cross multiply
    252.41x = 379.49 × 220.55
  4. Step 4: Simplify right side
    252.41x = 83,693.52
  5. Step 5: Solve for x
    x = 83,693.52/252.41
  6. Step 6: Final answer
    x = 331.58

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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.