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Finding the Fourth Proportional to 226.54, 339.16 and 149.27

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Solution

The fourth proportional to 226.54, 339.16 and 149.27 is: 223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.54 : 339.16 = 149.27 : x
  2. Step 2: Convert to fraction form
    226.54/339.16 = 149.27/x
  3. Step 3: Cross multiply
    226.54x = 339.16 × 149.27
  4. Step 4: Simplify right side
    226.54x = 50,624.72
  5. Step 5: Solve for x
    x = 50,624.72/226.54
  6. Step 6: Final answer
    x = 223.47

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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.