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Finding the Fourth Proportional to 311.74, 467.69 and 116.80

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Solution

The fourth proportional to 311.74, 467.69 and 116.80 is: 175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.74 : 467.69 = 116.80 : x
  2. Step 2: Convert to fraction form
    311.74/467.69 = 116.80/x
  3. Step 3: Cross multiply
    311.74x = 467.69 × 116.80
  4. Step 4: Simplify right side
    311.74x = 54,624.44
  5. Step 5: Solve for x
    x = 54,624.44/311.74
  6. Step 6: Final answer
    x = 175.23

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