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Finding the Fourth Proportional to 371.27, 557.18 and 165.74

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Solution

The fourth proportional to 371.27, 557.18 and 165.74 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.27 : 557.18 = 165.74 : x
  2. Step 2: Convert to fraction form
    371.27/557.18 = 165.74/x
  3. Step 3: Cross multiply
    371.27x = 557.18 × 165.74
  4. Step 4: Simplify right side
    371.27x = 92,343.40
  5. Step 5: Solve for x
    x = 92,343.40/371.27
  6. Step 6: Final answer
    x = 248.72

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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.