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Finding the Fourth Proportional to 204.78, 282.64 and 121.94

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Solution

The fourth proportional to 204.78, 282.64 and 121.94 is: 168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.78 : 282.64 = 121.94 : x
  2. Step 2: Convert to fraction form
    204.78/282.64 = 121.94/x
  3. Step 3: Cross multiply
    204.78x = 282.64 × 121.94
  4. Step 4: Simplify right side
    204.78x = 34,463.40
  5. Step 5: Solve for x
    x = 34,463.40/204.78
  6. Step 6: Final answer
    x = 168.29

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