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Finding the Fourth Proportional to 232.08, 319.78 and 226.23

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Solution

The fourth proportional to 232.08, 319.78 and 226.23 is: 311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.08 : 319.78 = 226.23 : x
  2. Step 2: Convert to fraction form
    232.08/319.78 = 226.23/x
  3. Step 3: Cross multiply
    232.08x = 319.78 × 226.23
  4. Step 4: Simplify right side
    232.08x = 72,343.83
  5. Step 5: Solve for x
    x = 72,343.83/232.08
  6. Step 6: Final answer
    x = 311.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.