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Finding the Fourth Proportional to 198.06, 296.96 and 159.77

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Solution

The fourth proportional to 198.06, 296.96 and 159.77 is: 239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.06 : 296.96 = 159.77 : x
  2. Step 2: Convert to fraction form
    198.06/296.96 = 159.77/x
  3. Step 3: Cross multiply
    198.06x = 296.96 × 159.77
  4. Step 4: Simplify right side
    198.06x = 47,443.02
  5. Step 5: Solve for x
    x = 47,443.02/198.06
  6. Step 6: Final answer
    x = 239.54

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