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Finding the Fourth Proportional to 281.56, 422.32 and 178.55

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Solution

The fourth proportional to 281.56, 422.32 and 178.55 is: 267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.56 : 422.32 = 178.55 : x
  2. Step 2: Convert to fraction form
    281.56/422.32 = 178.55/x
  3. Step 3: Cross multiply
    281.56x = 422.32 × 178.55
  4. Step 4: Simplify right side
    281.56x = 75,405.24
  5. Step 5: Solve for x
    x = 75,405.24/281.56
  6. Step 6: Final answer
    x = 267.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.