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Finding the Fourth Proportional to 185.97, 278.96 and 77.88

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Solution

The fourth proportional to 185.97, 278.96 and 77.88 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.97 : 278.96 = 77.88 : x
  2. Step 2: Convert to fraction form
    185.97/278.96 = 77.88/x
  3. Step 3: Cross multiply
    185.97x = 278.96 × 77.88
  4. Step 4: Simplify right side
    185.97x = 21,725.02
  5. Step 5: Solve for x
    x = 21,725.02/185.97
  6. Step 6: Final answer
    x = 116.82

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