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Finding the Fourth Proportional to 226.96, 338.21 and 213.28

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Solution

The fourth proportional to 226.96, 338.21 and 213.28 is: 317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.96 : 338.21 = 213.28 : x
  2. Step 2: Convert to fraction form
    226.96/338.21 = 213.28/x
  3. Step 3: Cross multiply
    226.96x = 338.21 × 213.28
  4. Step 4: Simplify right side
    226.96x = 72,133.43
  5. Step 5: Solve for x
    x = 72,133.43/226.96
  6. Step 6: Final answer
    x = 317.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.