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Finding the Fourth Proportional to 247.57, 371.36 and 103.12

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Solution

The fourth proportional to 247.57, 371.36 and 103.12 is: 154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.57 : 371.36 = 103.12 : x
  2. Step 2: Convert to fraction form
    247.57/371.36 = 103.12/x
  3. Step 3: Cross multiply
    247.57x = 371.36 × 103.12
  4. Step 4: Simplify right side
    247.57x = 38,294.64
  5. Step 5: Solve for x
    x = 38,294.64/247.57
  6. Step 6: Final answer
    x = 154.68

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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.