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Finding the Fourth Proportional to 204.00, 280.96 and 189.65

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Solution

The fourth proportional to 204.00, 280.96 and 189.65 is: 261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.00 : 280.96 = 189.65 : x
  2. Step 2: Convert to fraction form
    204.00/280.96 = 189.65/x
  3. Step 3: Cross multiply
    204.00x = 280.96 × 189.65
  4. Step 4: Simplify right side
    204.00x = 53,284.04
  5. Step 5: Solve for x
    x = 53,284.04/204.00
  6. Step 6: Final answer
    x = 261.19

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