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Finding the Fourth Proportional to 281.76, 422.54 and 178.88

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Solution

The fourth proportional to 281.76, 422.54 and 178.88 is: 268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.76 : 422.54 = 178.88 : x
  2. Step 2: Convert to fraction form
    281.76/422.54 = 178.88/x
  3. Step 3: Cross multiply
    281.76x = 422.54 × 178.88
  4. Step 4: Simplify right side
    281.76x = 75,583.96
  5. Step 5: Solve for x
    x = 75,583.96/281.76
  6. Step 6: Final answer
    x = 268.26

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