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Finding the Fourth Proportional to 234.55, 321.41 and 226.05

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Solution

The fourth proportional to 234.55, 321.41 and 226.05 is: 309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.55 : 321.41 = 226.05 : x
  2. Step 2: Convert to fraction form
    234.55/321.41 = 226.05/x
  3. Step 3: Cross multiply
    234.55x = 321.41 × 226.05
  4. Step 4: Simplify right side
    234.55x = 72,654.73
  5. Step 5: Solve for x
    x = 72,654.73/234.55
  6. Step 6: Final answer
    x = 309.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.