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Finding the Fourth Proportional to 204.26, 281.79 and 125.58

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Solution

The fourth proportional to 204.26, 281.79 and 125.58 is: 173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.26 : 281.79 = 125.58 : x
  2. Step 2: Convert to fraction form
    204.26/281.79 = 125.58/x
  3. Step 3: Cross multiply
    204.26x = 281.79 × 125.58
  4. Step 4: Simplify right side
    204.26x = 35,387.19
  5. Step 5: Solve for x
    x = 35,387.19/204.26
  6. Step 6: Final answer
    x = 173.25

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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.