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Finding the Fourth Proportional to 204.24, 281.92 and 126.64

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Solution

The fourth proportional to 204.24, 281.92 and 126.64 is: 174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.24 : 281.92 = 126.64 : x
  2. Step 2: Convert to fraction form
    204.24/281.92 = 126.64/x
  3. Step 3: Cross multiply
    204.24x = 281.92 × 126.64
  4. Step 4: Simplify right side
    204.24x = 35,702.35
  5. Step 5: Solve for x
    x = 35,702.35/204.24
  6. Step 6: Final answer
    x = 174.81

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