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Finding the Fourth Proportional to 226.23, 339.41 and 81.96

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Solution

The fourth proportional to 226.23, 339.41 and 81.96 is: 122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.23 : 339.41 = 81.96 : x
  2. Step 2: Convert to fraction form
    226.23/339.41 = 81.96/x
  3. Step 3: Cross multiply
    226.23x = 339.41 × 81.96
  4. Step 4: Simplify right side
    226.23x = 27,817.63
  5. Step 5: Solve for x
    x = 27,817.63/226.23
  6. Step 6: Final answer
    x = 122.96

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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.