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Finding the Fourth Proportional to 311.97, 467.96 and 106.68

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Solution

The fourth proportional to 311.97, 467.96 and 106.68 is: 160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.97 : 467.96 = 106.68 : x
  2. Step 2: Convert to fraction form
    311.97/467.96 = 106.68/x
  3. Step 3: Cross multiply
    311.97x = 467.96 × 106.68
  4. Step 4: Simplify right side
    311.97x = 49,921.97
  5. Step 5: Solve for x
    x = 49,921.97/311.97
  6. Step 6: Final answer
    x = 160.02

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