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Finding the Fourth Proportional to 198.08, 296.80 and 133.76

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Solution

The fourth proportional to 198.08, 296.80 and 133.76 is: 200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.08 : 296.80 = 133.76 : x
  2. Step 2: Convert to fraction form
    198.08/296.80 = 133.76/x
  3. Step 3: Cross multiply
    198.08x = 296.80 × 133.76
  4. Step 4: Simplify right side
    198.08x = 39,699.97
  5. Step 5: Solve for x
    x = 39,699.97/198.08
  6. Step 6: Final answer
    x = 200.42

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