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Finding the Fourth Proportional to 226.63, 339.91 and 82.33

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Solution

The fourth proportional to 226.63, 339.91 and 82.33 is: 123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.63 : 339.91 = 82.33 : x
  2. Step 2: Convert to fraction form
    226.63/339.91 = 82.33/x
  3. Step 3: Cross multiply
    226.63x = 339.91 × 82.33
  4. Step 4: Simplify right side
    226.63x = 27,984.79
  5. Step 5: Solve for x
    x = 27,984.79/226.63
  6. Step 6: Final answer
    x = 123.48

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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.