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Finding the Fourth Proportional to 180.83, 271.65 and 108.74

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Solution

The fourth proportional to 180.83, 271.65 and 108.74 is: 163.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 271.65 = 108.74 : x
  2. Step 2: Convert to fraction form
    180.83/271.65 = 108.74/x
  3. Step 3: Cross multiply
    180.83x = 271.65 × 108.74
  4. Step 4: Simplify right side
    180.83x = 29,540.31
  5. Step 5: Solve for x
    x = 29,540.31/180.83
  6. Step 6: Final answer
    x = 163.36

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