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Finding the Fourth Proportional to 204.06, 281.61 and 116.75

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Solution

The fourth proportional to 204.06, 281.61 and 116.75 is: 161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.06 : 281.61 = 116.75 : x
  2. Step 2: Convert to fraction form
    204.06/281.61 = 116.75/x
  3. Step 3: Cross multiply
    204.06x = 281.61 × 116.75
  4. Step 4: Simplify right side
    204.06x = 32,877.97
  5. Step 5: Solve for x
    x = 32,877.97/204.06
  6. Step 6: Final answer
    x = 161.12

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