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Finding the Fourth Proportional to 281.70, 422.43 and 127.47

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Solution

The fourth proportional to 281.70, 422.43 and 127.47 is: 191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.70 : 422.43 = 127.47 : x
  2. Step 2: Convert to fraction form
    281.70/422.43 = 127.47/x
  3. Step 3: Cross multiply
    281.70x = 422.43 × 127.47
  4. Step 4: Simplify right side
    281.70x = 53,847.15
  5. Step 5: Solve for x
    x = 53,847.15/281.70
  6. Step 6: Final answer
    x = 191.15

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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.