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Finding the Fourth Proportional to 247.42, 371.09 and 82.87

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Solution

The fourth proportional to 247.42, 371.09 and 82.87 is: 124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.42 : 371.09 = 82.87 : x
  2. Step 2: Convert to fraction form
    247.42/371.09 = 82.87/x
  3. Step 3: Cross multiply
    247.42x = 371.09 × 82.87
  4. Step 4: Simplify right side
    247.42x = 30,750.37
  5. Step 5: Solve for x
    x = 30,750.37/247.42
  6. Step 6: Final answer
    x = 124.28

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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.