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Finding the Fourth Proportional to 281.90, 422.91 and 127.87

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Solution

The fourth proportional to 281.90, 422.91 and 127.87 is: 191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.90 : 422.91 = 127.87 : x
  2. Step 2: Convert to fraction form
    281.90/422.91 = 127.87/x
  3. Step 3: Cross multiply
    281.90x = 422.91 × 127.87
  4. Step 4: Simplify right side
    281.90x = 54,075.24
  5. Step 5: Solve for x
    x = 54,075.24/281.90
  6. Step 6: Final answer
    x = 191.83

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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.