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Finding the Fourth Proportional to 204.86, 282.82 and 126.20

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Solution

The fourth proportional to 204.86, 282.82 and 126.20 is: 174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.86 : 282.82 = 126.20 : x
  2. Step 2: Convert to fraction form
    204.86/282.82 = 126.20/x
  3. Step 3: Cross multiply
    204.86x = 282.82 × 126.20
  4. Step 4: Simplify right side
    204.86x = 35,692.28
  5. Step 5: Solve for x
    x = 35,692.28/204.86
  6. Step 6: Final answer
    x = 174.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.