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Finding the Fourth Proportional to 226.03, 338.73 and 211.24

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Solution

The fourth proportional to 226.03, 338.73 and 211.24 is: 316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.03 : 338.73 = 211.24 : x
  2. Step 2: Convert to fraction form
    226.03/338.73 = 211.24/x
  3. Step 3: Cross multiply
    226.03x = 338.73 × 211.24
  4. Step 4: Simplify right side
    226.03x = 71,553.33
  5. Step 5: Solve for x
    x = 71,553.33/226.03
  6. Step 6: Final answer
    x = 316.57

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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.