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Finding the Fourth Proportional to 183.64, 275.24 and 106.64

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Solution

The fourth proportional to 183.64, 275.24 and 106.64 is: 159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.64 : 275.24 = 106.64 : x
  2. Step 2: Convert to fraction form
    183.64/275.24 = 106.64/x
  3. Step 3: Cross multiply
    183.64x = 275.24 × 106.64
  4. Step 4: Simplify right side
    183.64x = 29,351.59
  5. Step 5: Solve for x
    x = 29,351.59/183.64
  6. Step 6: Final answer
    x = 159.83

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