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Finding the Fourth Proportional to 247.42, 371.13 and 144.49

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Solution

The fourth proportional to 247.42, 371.13 and 144.49 is: 216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.42 : 371.13 = 144.49 : x
  2. Step 2: Convert to fraction form
    247.42/371.13 = 144.49/x
  3. Step 3: Cross multiply
    247.42x = 371.13 × 144.49
  4. Step 4: Simplify right side
    247.42x = 53,624.57
  5. Step 5: Solve for x
    x = 53,624.57/247.42
  6. Step 6: Final answer
    x = 216.74

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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.