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Finding the Fourth Proportional to 371.39, 557.23 and 165.90

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Solution

The fourth proportional to 371.39, 557.23 and 165.90 is: 248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.39 : 557.23 = 165.90 : x
  2. Step 2: Convert to fraction form
    371.39/557.23 = 165.90/x
  3. Step 3: Cross multiply
    371.39x = 557.23 × 165.90
  4. Step 4: Simplify right side
    371.39x = 92,443.31
  5. Step 5: Solve for x
    x = 92,443.31/371.39
  6. Step 6: Final answer
    x = 248.92

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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.