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Finding the Fourth Proportional to 371.91, 557.46 and 166.26

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Solution

The fourth proportional to 371.91, 557.46 and 166.26 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.91 : 557.46 = 166.26 : x
  2. Step 2: Convert to fraction form
    371.91/557.46 = 166.26/x
  3. Step 3: Cross multiply
    371.91x = 557.46 × 166.26
  4. Step 4: Simplify right side
    371.91x = 92,683.30
  5. Step 5: Solve for x
    x = 92,683.30/371.91
  6. Step 6: Final answer
    x = 249.21

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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.