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Finding the Fourth Proportional to 281.42, 422.12 and 75.98

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Solution

The fourth proportional to 281.42, 422.12 and 75.98 is: 113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.42 : 422.12 = 75.98 : x
  2. Step 2: Convert to fraction form
    281.42/422.12 = 75.98/x
  3. Step 3: Cross multiply
    281.42x = 422.12 × 75.98
  4. Step 4: Simplify right side
    281.42x = 32,072.68
  5. Step 5: Solve for x
    x = 32,072.68/281.42
  6. Step 6: Final answer
    x = 113.97

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Why These Related Problems?

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