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Finding the Fourth Proportional to 281.65, 422.66 and 200.65

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Solution

The fourth proportional to 281.65, 422.66 and 200.65 is: 301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.65 : 422.66 = 200.65 : x
  2. Step 2: Convert to fraction form
    281.65/422.66 = 200.65/x
  3. Step 3: Cross multiply
    281.65x = 422.66 × 200.65
  4. Step 4: Simplify right side
    281.65x = 84,806.73
  5. Step 5: Solve for x
    x = 84,806.73/281.65
  6. Step 6: Final answer
    x = 301.11

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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.