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Finding the Fourth Proportional to 311.90, 467.95 and 138.68

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Solution

The fourth proportional to 311.90, 467.95 and 138.68 is: 208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.90 : 467.95 = 138.68 : x
  2. Step 2: Convert to fraction form
    311.90/467.95 = 138.68/x
  3. Step 3: Cross multiply
    311.90x = 467.95 × 138.68
  4. Step 4: Simplify right side
    311.90x = 64,895.25
  5. Step 5: Solve for x
    x = 64,895.25/311.90
  6. Step 6: Final answer
    x = 208.07

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