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Finding the Fourth Proportional to 362.20, 543.06 and 169.88

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Solution

The fourth proportional to 362.20, 543.06 and 169.88 is: 254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.20 : 543.06 = 169.88 : x
  2. Step 2: Convert to fraction form
    362.20/543.06 = 169.88/x
  3. Step 3: Cross multiply
    362.20x = 543.06 × 169.88
  4. Step 4: Simplify right side
    362.20x = 92,255.03
  5. Step 5: Solve for x
    x = 92,255.03/362.20
  6. Step 6: Final answer
    x = 254.71

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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.