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Finding the Fourth Proportional to 247.88, 371.81 and 101.71

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Solution

The fourth proportional to 247.88, 371.81 and 101.71 is: 152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.88 : 371.81 = 101.71 : x
  2. Step 2: Convert to fraction form
    247.88/371.81 = 101.71/x
  3. Step 3: Cross multiply
    247.88x = 371.81 × 101.71
  4. Step 4: Simplify right side
    247.88x = 37,814.94
  5. Step 5: Solve for x
    x = 37,814.94/247.88
  6. Step 6: Final answer
    x = 152.56

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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.