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Finding the Fourth Proportional to 179.78, 269.60 and 82.31

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Solution

The fourth proportional to 179.78, 269.60 and 82.31 is: 123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.78 : 269.60 = 82.31 : x
  2. Step 2: Convert to fraction form
    179.78/269.60 = 82.31/x
  3. Step 3: Cross multiply
    179.78x = 269.60 × 82.31
  4. Step 4: Simplify right side
    179.78x = 22,189.02
  5. Step 5: Solve for x
    x = 22,189.02/179.78
  6. Step 6: Final answer
    x = 123.43

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