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Finding the Fourth Proportional to 165, 227.64 and 98.64

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Solution

The fourth proportional to 165, 227.64 and 98.64 is: 136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 227.64 = 98.64 : x
  2. Step 2: Convert to fraction form
    165/227.64 = 98.64/x
  3. Step 3: Cross multiply
    165x = 227.64 × 98.64
  4. Step 4: Simplify right side
    165x = 22,454.41
  5. Step 5: Solve for x
    x = 22,454.41/165
  6. Step 6: Final answer
    x = 136.09

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