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Finding the Fourth Proportional to 233.24, 347.96 and 226.97

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Solution

The fourth proportional to 233.24, 347.96 and 226.97 is: 338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.24 : 347.96 = 226.97 : x
  2. Step 2: Convert to fraction form
    233.24/347.96 = 226.97/x
  3. Step 3: Cross multiply
    233.24x = 347.96 × 226.97
  4. Step 4: Simplify right side
    233.24x = 78,976.48
  5. Step 5: Solve for x
    x = 78,976.48/233.24
  6. Step 6: Final answer
    x = 338.61

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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.