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Finding the Fourth Proportional to 254.07, 378.85 and 226.73

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Solution

The fourth proportional to 254.07, 378.85 and 226.73 is: 338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.07 : 378.85 = 226.73 : x
  2. Step 2: Convert to fraction form
    254.07/378.85 = 226.73/x
  3. Step 3: Cross multiply
    254.07x = 378.85 × 226.73
  4. Step 4: Simplify right side
    254.07x = 85,896.66
  5. Step 5: Solve for x
    x = 85,896.66/254.07
  6. Step 6: Final answer
    x = 338.08

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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.