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Finding the Fourth Proportional to 254.92, 350.97 and 226.78

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Solution

The fourth proportional to 254.92, 350.97 and 226.78 is: 312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.92 : 350.97 = 226.78 : x
  2. Step 2: Convert to fraction form
    254.92/350.97 = 226.78/x
  3. Step 3: Cross multiply
    254.92x = 350.97 × 226.78
  4. Step 4: Simplify right side
    254.92x = 79,592.98
  5. Step 5: Solve for x
    x = 79,592.98/254.92
  6. Step 6: Final answer
    x = 312.23

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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.