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Finding the Fourth Proportional to 198.54, 297.89 and 83.06

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Solution

The fourth proportional to 198.54, 297.89 and 83.06 is: 124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.54 : 297.89 = 83.06 : x
  2. Step 2: Convert to fraction form
    198.54/297.89 = 83.06/x
  3. Step 3: Cross multiply
    198.54x = 297.89 × 83.06
  4. Step 4: Simplify right side
    198.54x = 24,743.07
  5. Step 5: Solve for x
    x = 24,743.07/198.54
  6. Step 6: Final answer
    x = 124.63

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