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Finding the Fourth Proportional to 371.85, 557.97 and 166.41

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Solution

The fourth proportional to 371.85, 557.97 and 166.41 is: 249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.85 : 557.97 = 166.41 : x
  2. Step 2: Convert to fraction form
    371.85/557.97 = 166.41/x
  3. Step 3: Cross multiply
    371.85x = 557.97 × 166.41
  4. Step 4: Simplify right side
    371.85x = 92,851.79
  5. Step 5: Solve for x
    x = 92,851.79/371.85
  6. Step 6: Final answer
    x = 249.70

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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.