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Finding the Fourth Proportional to 362.52, 542.90 and 170.20

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Solution

The fourth proportional to 362.52, 542.90 and 170.20 is: 254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.52 : 542.90 = 170.20 : x
  2. Step 2: Convert to fraction form
    362.52/542.90 = 170.20/x
  3. Step 3: Cross multiply
    362.52x = 542.90 × 170.20
  4. Step 4: Simplify right side
    362.52x = 92,401.58
  5. Step 5: Solve for x
    x = 92,401.58/362.52
  6. Step 6: Final answer
    x = 254.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.