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Finding the Fourth Proportional to 252.86, 349.07 and 239.49

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Solution

The fourth proportional to 252.86, 349.07 and 239.49 is: 330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.86 : 349.07 = 239.49 : x
  2. Step 2: Convert to fraction form
    252.86/349.07 = 239.49/x
  3. Step 3: Cross multiply
    252.86x = 349.07 × 239.49
  4. Step 4: Simplify right side
    252.86x = 83,597.58
  5. Step 5: Solve for x
    x = 83,597.58/252.86
  6. Step 6: Final answer
    x = 330.61

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