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Finding the Fourth Proportional to 281.46, 422.14 and 76.04

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Solution

The fourth proportional to 281.46, 422.14 and 76.04 is: 114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.46 : 422.14 = 76.04 : x
  2. Step 2: Convert to fraction form
    281.46/422.14 = 76.04/x
  3. Step 3: Cross multiply
    281.46x = 422.14 × 76.04
  4. Step 4: Simplify right side
    281.46x = 32,099.22
  5. Step 5: Solve for x
    x = 32,099.22/281.46
  6. Step 6: Final answer
    x = 114.05

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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.