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Finding the Fourth Proportional to 323.82, 446.96 and 199.46

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Solution

The fourth proportional to 323.82, 446.96 and 199.46 is: 275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.82 : 446.96 = 199.46 : x
  2. Step 2: Convert to fraction form
    323.82/446.96 = 199.46/x
  3. Step 3: Cross multiply
    323.82x = 446.96 × 199.46
  4. Step 4: Simplify right side
    323.82x = 89,149.64
  5. Step 5: Solve for x
    x = 89,149.64/323.82
  6. Step 6: Final answer
    x = 275.31

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