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Finding the Fourth Proportional to 204.06, 281.48 and 178.14

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Solution

The fourth proportional to 204.06, 281.48 and 178.14 is: 245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.06 : 281.48 = 178.14 : x
  2. Step 2: Convert to fraction form
    204.06/281.48 = 178.14/x
  3. Step 3: Cross multiply
    204.06x = 281.48 × 178.14
  4. Step 4: Simplify right side
    204.06x = 50,141.96
  5. Step 5: Solve for x
    x = 50,141.96/204.06
  6. Step 6: Final answer
    x = 245.72

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