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Finding the Fourth Proportional to 371.74, 557.85 and 166.30

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Solution

The fourth proportional to 371.74, 557.85 and 166.30 is: 249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.74 : 557.85 = 166.30 : x
  2. Step 2: Convert to fraction form
    371.74/557.85 = 166.30/x
  3. Step 3: Cross multiply
    371.74x = 557.85 × 166.30
  4. Step 4: Simplify right side
    371.74x = 92,770.46
  5. Step 5: Solve for x
    x = 92,770.46/371.74
  6. Step 6: Final answer
    x = 249.56

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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.