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Finding the Fourth Proportional to 247.37, 371.01 and 82.83

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Solution

The fourth proportional to 247.37, 371.01 and 82.83 is: 124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.37 : 371.01 = 82.83 : x
  2. Step 2: Convert to fraction form
    247.37/371.01 = 82.83/x
  3. Step 3: Cross multiply
    247.37x = 371.01 × 82.83
  4. Step 4: Simplify right side
    247.37x = 30,729.15
  5. Step 5: Solve for x
    x = 30,729.15/247.37
  6. Step 6: Final answer
    x = 124.22

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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.