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Finding the Fourth Proportional to 198.64, 297.78 and 83.08

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Solution

The fourth proportional to 198.64, 297.78 and 83.08 is: 124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.64 : 297.78 = 83.08 : x
  2. Step 2: Convert to fraction form
    198.64/297.78 = 83.08/x
  3. Step 3: Cross multiply
    198.64x = 297.78 × 83.08
  4. Step 4: Simplify right side
    198.64x = 24,739.56
  5. Step 5: Solve for x
    x = 24,739.56/198.64
  6. Step 6: Final answer
    x = 124.54

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