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Finding the Fourth Proportional to 252.55, 349.97 and 237.14

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Solution

The fourth proportional to 252.55, 349.97 and 237.14 is: 328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.55 : 349.97 = 237.14 : x
  2. Step 2: Convert to fraction form
    252.55/349.97 = 237.14/x
  3. Step 3: Cross multiply
    252.55x = 349.97 × 237.14
  4. Step 4: Simplify right side
    252.55x = 82,990.26
  5. Step 5: Solve for x
    x = 82,990.26/252.55
  6. Step 6: Final answer
    x = 328.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.