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Finding the Fourth Proportional to 281.80, 422.34 and 185.68

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Solution

The fourth proportional to 281.80, 422.34 and 185.68 is: 278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.80 : 422.34 = 185.68 : x
  2. Step 2: Convert to fraction form
    281.80/422.34 = 185.68/x
  3. Step 3: Cross multiply
    281.80x = 422.34 × 185.68
  4. Step 4: Simplify right side
    281.80x = 78,420.09
  5. Step 5: Solve for x
    x = 78,420.09/281.80
  6. Step 6: Final answer
    x = 278.28

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