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Finding the Fourth Proportional to 254.13, 379.22 and 226.79

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Solution

The fourth proportional to 254.13, 379.22 and 226.79 is: 338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.13 : 379.22 = 226.79 : x
  2. Step 2: Convert to fraction form
    254.13/379.22 = 226.79/x
  3. Step 3: Cross multiply
    254.13x = 379.22 × 226.79
  4. Step 4: Simplify right side
    254.13x = 86,003.30
  5. Step 5: Solve for x
    x = 86,003.30/254.13
  6. Step 6: Final answer
    x = 338.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.