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Finding the Fourth Proportional to 180.13, 269.82 and 111.43

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Solution

The fourth proportional to 180.13, 269.82 and 111.43 is: 166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.13 : 269.82 = 111.43 : x
  2. Step 2: Convert to fraction form
    180.13/269.82 = 111.43/x
  3. Step 3: Cross multiply
    180.13x = 269.82 × 111.43
  4. Step 4: Simplify right side
    180.13x = 30,066.04
  5. Step 5: Solve for x
    x = 30,066.04/180.13
  6. Step 6: Final answer
    x = 166.91

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