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Finding the Fourth Proportional to 179.78, 269.44 and 82.25

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Solution

The fourth proportional to 179.78, 269.44 and 82.25 is: 123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.78 : 269.44 = 82.25 : x
  2. Step 2: Convert to fraction form
    179.78/269.44 = 82.25/x
  3. Step 3: Cross multiply
    179.78x = 269.44 × 82.25
  4. Step 4: Simplify right side
    179.78x = 22,159.68
  5. Step 5: Solve for x
    x = 22,159.68/179.78
  6. Step 6: Final answer
    x = 123.26

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