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Finding the Fourth Proportional to 252.57, 377.09 and 237.12

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Solution

The fourth proportional to 252.57, 377.09 and 237.12 is: 354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.57 : 377.09 = 237.12 : x
  2. Step 2: Convert to fraction form
    252.57/377.09 = 237.12/x
  3. Step 3: Cross multiply
    252.57x = 377.09 × 237.12
  4. Step 4: Simplify right side
    252.57x = 89,414.40
  5. Step 5: Solve for x
    x = 89,414.40/252.57
  6. Step 6: Final answer
    x = 354.02

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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.