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Finding the Fourth Proportional to 180.92, 271.11 and 161.66

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Solution

The fourth proportional to 180.92, 271.11 and 161.66 is: 242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.92 : 271.11 = 161.66 : x
  2. Step 2: Convert to fraction form
    180.92/271.11 = 161.66/x
  3. Step 3: Cross multiply
    180.92x = 271.11 × 161.66
  4. Step 4: Simplify right side
    180.92x = 43,827.64
  5. Step 5: Solve for x
    x = 43,827.64/180.92
  6. Step 6: Final answer
    x = 242.25

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