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Finding the Fourth Proportional to 247.45, 371.24 and 74.12

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Solution

The fourth proportional to 247.45, 371.24 and 74.12 is: 111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.45 : 371.24 = 74.12 : x
  2. Step 2: Convert to fraction form
    247.45/371.24 = 74.12/x
  3. Step 3: Cross multiply
    247.45x = 371.24 × 74.12
  4. Step 4: Simplify right side
    247.45x = 27,516.31
  5. Step 5: Solve for x
    x = 27,516.31/247.45
  6. Step 6: Final answer
    x = 111.20

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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.