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Finding the Fourth Proportional to 198.54, 297.78 and 117.31

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Solution

The fourth proportional to 198.54, 297.78 and 117.31 is: 175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.54 : 297.78 = 117.31 : x
  2. Step 2: Convert to fraction form
    198.54/297.78 = 117.31/x
  3. Step 3: Cross multiply
    198.54x = 297.78 × 117.31
  4. Step 4: Simplify right side
    198.54x = 34,932.57
  5. Step 5: Solve for x
    x = 34,932.57/198.54
  6. Step 6: Final answer
    x = 175.95

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