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Finding the Fourth Proportional to 204.09, 281.51 and 126.33

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Solution

The fourth proportional to 204.09, 281.51 and 126.33 is: 174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.09 : 281.51 = 126.33 : x
  2. Step 2: Convert to fraction form
    204.09/281.51 = 126.33/x
  3. Step 3: Cross multiply
    204.09x = 281.51 × 126.33
  4. Step 4: Simplify right side
    204.09x = 35,562.53
  5. Step 5: Solve for x
    x = 35,562.53/204.09
  6. Step 6: Final answer
    x = 174.25

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Why These Related Problems?

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