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Finding the Fourth Proportional to 362.56, 543.39 and 169.78

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Solution

The fourth proportional to 362.56, 543.39 and 169.78 is: 254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.56 : 543.39 = 169.78 : x
  2. Step 2: Convert to fraction form
    362.56/543.39 = 169.78/x
  3. Step 3: Cross multiply
    362.56x = 543.39 × 169.78
  4. Step 4: Simplify right side
    362.56x = 92,256.75
  5. Step 5: Solve for x
    x = 92,256.75/362.56
  6. Step 6: Final answer
    x = 254.46

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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.