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Finding the Fourth Proportional to 252.57, 377.90 and 227.31

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Solution

The fourth proportional to 252.57, 377.90 and 227.31 is: 340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.57 : 377.90 = 227.31 : x
  2. Step 2: Convert to fraction form
    252.57/377.90 = 227.31/x
  3. Step 3: Cross multiply
    252.57x = 377.90 × 227.31
  4. Step 4: Simplify right side
    252.57x = 85,900.45
  5. Step 5: Solve for x
    x = 85,900.45/252.57
  6. Step 6: Final answer
    x = 340.11

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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.