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Finding the Fourth Proportional to 198.06, 296.82 and 101.64

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Solution

The fourth proportional to 198.06, 296.82 and 101.64 is: 152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.06 : 296.82 = 101.64 : x
  2. Step 2: Convert to fraction form
    198.06/296.82 = 101.64/x
  3. Step 3: Cross multiply
    198.06x = 296.82 × 101.64
  4. Step 4: Simplify right side
    198.06x = 30,168.78
  5. Step 5: Solve for x
    x = 30,168.78/198.06
  6. Step 6: Final answer
    x = 152.32

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