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Finding the Fourth Proportional to 180.24, 269.76 and 107.76

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Solution

The fourth proportional to 180.24, 269.76 and 107.76 is: 161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.24 : 269.76 = 107.76 : x
  2. Step 2: Convert to fraction form
    180.24/269.76 = 107.76/x
  3. Step 3: Cross multiply
    180.24x = 269.76 × 107.76
  4. Step 4: Simplify right side
    180.24x = 29,069.34
  5. Step 5: Solve for x
    x = 29,069.34/180.24
  6. Step 6: Final answer
    x = 161.28

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