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Finding the Fourth Proportional to 321.65, 443.65 and 226.97

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Solution

The fourth proportional to 321.65, 443.65 and 226.97 is: 313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.65 : 443.65 = 226.97 : x
  2. Step 2: Convert to fraction form
    321.65/443.65 = 226.97/x
  3. Step 3: Cross multiply
    321.65x = 443.65 × 226.97
  4. Step 4: Simplify right side
    321.65x = 100,694.67
  5. Step 5: Solve for x
    x = 100,694.67/321.65
  6. Step 6: Final answer
    x = 313.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.