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Finding the Fourth Proportional to 371.47, 557.33 and 166.18

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Solution

The fourth proportional to 371.47, 557.33 and 166.18 is: 249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.47 : 557.33 = 166.18 : x
  2. Step 2: Convert to fraction form
    371.47/557.33 = 166.18/x
  3. Step 3: Cross multiply
    371.47x = 557.33 × 166.18
  4. Step 4: Simplify right side
    371.47x = 92,615.71
  5. Step 5: Solve for x
    x = 92,615.71/371.47
  6. Step 6: Final answer
    x = 249.32

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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.