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Finding the Fourth Proportional to 180.93, 271.38 and 109.23

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Solution

The fourth proportional to 180.93, 271.38 and 109.23 is: 163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.93 : 271.38 = 109.23 : x
  2. Step 2: Convert to fraction form
    180.93/271.38 = 109.23/x
  3. Step 3: Cross multiply
    180.93x = 271.38 × 109.23
  4. Step 4: Simplify right side
    180.93x = 29,642.84
  5. Step 5: Solve for x
    x = 29,642.84/180.93
  6. Step 6: Final answer
    x = 163.84

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