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Finding the Fourth Proportional to 247.24, 371.09 and 131.78

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Solution

The fourth proportional to 247.24, 371.09 and 131.78 is: 197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.24 : 371.09 = 131.78 : x
  2. Step 2: Convert to fraction form
    247.24/371.09 = 131.78/x
  3. Step 3: Cross multiply
    247.24x = 371.09 × 131.78
  4. Step 4: Simplify right side
    247.24x = 48,903.45
  5. Step 5: Solve for x
    x = 48,903.45/247.24
  6. Step 6: Final answer
    x = 197.80

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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.