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Finding the Fourth Proportional to 226.71, 310.82 and 220.59

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Solution

The fourth proportional to 226.71, 310.82 and 220.59 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.71 : 310.82 = 220.59 : x
  2. Step 2: Convert to fraction form
    226.71/310.82 = 220.59/x
  3. Step 3: Cross multiply
    226.71x = 310.82 × 220.59
  4. Step 4: Simplify right side
    226.71x = 68,562.68
  5. Step 5: Solve for x
    x = 68,562.68/226.71
  6. Step 6: Final answer
    x = 302.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.