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Finding the Fourth Proportional to 198.23, 297.28 and 76.42

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Solution

The fourth proportional to 198.23, 297.28 and 76.42 is: 114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.23 : 297.28 = 76.42 : x
  2. Step 2: Convert to fraction form
    198.23/297.28 = 76.42/x
  3. Step 3: Cross multiply
    198.23x = 297.28 × 76.42
  4. Step 4: Simplify right side
    198.23x = 22,717.20
  5. Step 5: Solve for x
    x = 22,717.20/198.23
  6. Step 6: Final answer
    x = 114.60

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