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Finding the Fourth Proportional to 226.72, 313.10 and 193.78

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Solution

The fourth proportional to 226.72, 313.10 and 193.78 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.72 : 313.10 = 193.78 : x
  2. Step 2: Convert to fraction form
    226.72/313.10 = 193.78/x
  3. Step 3: Cross multiply
    226.72x = 313.10 × 193.78
  4. Step 4: Simplify right side
    226.72x = 60,672.52
  5. Step 5: Solve for x
    x = 60,672.52/226.72
  6. Step 6: Final answer
    x = 267.61

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