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Finding the Fourth Proportional to 281.80, 422.67 and 144.79

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Solution

The fourth proportional to 281.80, 422.67 and 144.79 is: 217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.80 : 422.67 = 144.79 : x
  2. Step 2: Convert to fraction form
    281.80/422.67 = 144.79/x
  3. Step 3: Cross multiply
    281.80x = 422.67 × 144.79
  4. Step 4: Simplify right side
    281.80x = 61,198.39
  5. Step 5: Solve for x
    x = 61,198.39/281.80
  6. Step 6: Final answer
    x = 217.17

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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.