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Finding the Fourth Proportional to 371.60, 557.40 and 166.11

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Solution

The fourth proportional to 371.60, 557.40 and 166.11 is: 249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.60 : 557.40 = 166.11 : x
  2. Step 2: Convert to fraction form
    371.60/557.40 = 166.11/x
  3. Step 3: Cross multiply
    371.60x = 557.40 × 166.11
  4. Step 4: Simplify right side
    371.60x = 92,589.71
  5. Step 5: Solve for x
    x = 92,589.71/371.60
  6. Step 6: Final answer
    x = 249.17

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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.