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Finding the Fourth Proportional to 226.35, 311.79 and 215.42

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Solution

The fourth proportional to 226.35, 311.79 and 215.42 is: 296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.35 : 311.79 = 215.42 : x
  2. Step 2: Convert to fraction form
    226.35/311.79 = 215.42/x
  3. Step 3: Cross multiply
    226.35x = 311.79 × 215.42
  4. Step 4: Simplify right side
    226.35x = 67,165.80
  5. Step 5: Solve for x
    x = 67,165.80/226.35
  6. Step 6: Final answer
    x = 296.73

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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.