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Finding the Fourth Proportional to 180.00, 269.78 and 77.17

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Solution

The fourth proportional to 180.00, 269.78 and 77.17 is: 115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.00 : 269.78 = 77.17 : x
  2. Step 2: Convert to fraction form
    180.00/269.78 = 77.17/x
  3. Step 3: Cross multiply
    180.00x = 269.78 × 77.17
  4. Step 4: Simplify right side
    180.00x = 20,817.38
  5. Step 5: Solve for x
    x = 20,817.38/180.00
  6. Step 6: Final answer
    x = 115.65

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