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Finding the Fourth Proportional to 311.40, 467.10 and 164.95

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Solution

The fourth proportional to 311.40, 467.10 and 164.95 is: 247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.40 : 467.10 = 164.95 : x
  2. Step 2: Convert to fraction form
    311.40/467.10 = 164.95/x
  3. Step 3: Cross multiply
    311.40x = 467.10 × 164.95
  4. Step 4: Simplify right side
    311.40x = 77,046.98
  5. Step 5: Solve for x
    x = 77,046.98/311.40
  6. Step 6: Final answer
    x = 247.42

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