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Finding the Fourth Proportional to 254.19, 380.17 and 226.96

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Solution

The fourth proportional to 254.19, 380.17 and 226.96 is: 339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.19 : 380.17 = 226.96 : x
  2. Step 2: Convert to fraction form
    254.19/380.17 = 226.96/x
  3. Step 3: Cross multiply
    254.19x = 380.17 × 226.96
  4. Step 4: Simplify right side
    254.19x = 86,283.38
  5. Step 5: Solve for x
    x = 86,283.38/254.19
  6. Step 6: Final answer
    x = 339.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.