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Finding the Fourth Proportional to 247.65, 371.51 and 83.15

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Solution

The fourth proportional to 247.65, 371.51 and 83.15 is: 124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.65 : 371.51 = 83.15 : x
  2. Step 2: Convert to fraction form
    247.65/371.51 = 83.15/x
  3. Step 3: Cross multiply
    247.65x = 371.51 × 83.15
  4. Step 4: Simplify right side
    247.65x = 30,892.19
  5. Step 5: Solve for x
    x = 30,892.19/247.65
  6. Step 6: Final answer
    x = 124.74

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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.