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Finding the Fourth Proportional to 371.50, 557.46 and 166.04

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Solution

The fourth proportional to 371.50, 557.46 and 166.04 is: 249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.50 : 557.46 = 166.04 : x
  2. Step 2: Convert to fraction form
    371.50/557.46 = 166.04/x
  3. Step 3: Cross multiply
    371.50x = 557.46 × 166.04
  4. Step 4: Simplify right side
    371.50x = 92,560.66
  5. Step 5: Solve for x
    x = 92,560.66/371.50
  6. Step 6: Final answer
    x = 249.15

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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.