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Finding the Fourth Proportional to 361.76, 542.91 and 169.52

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Solution

The fourth proportional to 361.76, 542.91 and 169.52 is: 254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.76 : 542.91 = 169.52 : x
  2. Step 2: Convert to fraction form
    361.76/542.91 = 169.52/x
  3. Step 3: Cross multiply
    361.76x = 542.91 × 169.52
  4. Step 4: Simplify right side
    361.76x = 92,034.10
  5. Step 5: Solve for x
    x = 92,034.10/361.76
  6. Step 6: Final answer
    x = 254.41

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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.