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Finding the Fourth Proportional to 362.03, 542.97 and 166.82

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Solution

The fourth proportional to 362.03, 542.97 and 166.82 is: 250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.03 : 542.97 = 166.82 : x
  2. Step 2: Convert to fraction form
    362.03/542.97 = 166.82/x
  3. Step 3: Cross multiply
    362.03x = 542.97 × 166.82
  4. Step 4: Simplify right side
    362.03x = 90,578.26
  5. Step 5: Solve for x
    x = 90,578.26/362.03
  6. Step 6: Final answer
    x = 250.20

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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.