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Finding the Fourth Proportional to 371.66, 557.61 and 166.37

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Solution

The fourth proportional to 371.66, 557.61 and 166.37 is: 249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.66 : 557.61 = 166.37 : x
  2. Step 2: Convert to fraction form
    371.66/557.61 = 166.37/x
  3. Step 3: Cross multiply
    371.66x = 557.61 × 166.37
  4. Step 4: Simplify right side
    371.66x = 92,766.79
  5. Step 5: Solve for x
    x = 92,766.79/371.66
  6. Step 6: Final answer
    x = 249.60

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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.