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Finding the Fourth Proportional to 204.07, 305.84 and 178.33

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Solution

The fourth proportional to 204.07, 305.84 and 178.33 is: 267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.07 : 305.84 = 178.33 : x
  2. Step 2: Convert to fraction form
    204.07/305.84 = 178.33/x
  3. Step 3: Cross multiply
    204.07x = 305.84 × 178.33
  4. Step 4: Simplify right side
    204.07x = 54,540.45
  5. Step 5: Solve for x
    x = 54,540.45/204.07
  6. Step 6: Final answer
    x = 267.26

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