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Finding the Fourth Proportional to 252.68, 348.42 and 239

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Solution

The fourth proportional to 252.68, 348.42 and 239 is: 329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.68 : 348.42 = 239 : x
  2. Step 2: Convert to fraction form
    252.68/348.42 = 239/x
  3. Step 3: Cross multiply
    252.68x = 348.42 × 239
  4. Step 4: Simplify right side
    252.68x = 83,272.38
  5. Step 5: Solve for x
    x = 83,272.38/252.68
  6. Step 6: Final answer
    x = 329.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.