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Finding the Fourth Proportional to 362.31, 542.99 and 169.59

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Solution

The fourth proportional to 362.31, 542.99 and 169.59 is: 254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.31 : 542.99 = 169.59 : x
  2. Step 2: Convert to fraction form
    362.31/542.99 = 169.59/x
  3. Step 3: Cross multiply
    362.31x = 542.99 × 169.59
  4. Step 4: Simplify right side
    362.31x = 92,084.83
  5. Step 5: Solve for x
    x = 92,084.83/362.31
  6. Step 6: Final answer
    x = 254.16

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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.