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Finding the Fourth Proportional to 247.86, 371.71 and 83.29

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Solution

The fourth proportional to 247.86, 371.71 and 83.29 is: 124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.86 : 371.71 = 83.29 : x
  2. Step 2: Convert to fraction form
    247.86/371.71 = 83.29/x
  3. Step 3: Cross multiply
    247.86x = 371.71 × 83.29
  4. Step 4: Simplify right side
    247.86x = 30,959.73
  5. Step 5: Solve for x
    x = 30,959.73/247.86
  6. Step 6: Final answer
    x = 124.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.