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Finding the Fourth Proportional to 226.26, 336.81 and 224.89

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Solution

The fourth proportional to 226.26, 336.81 and 224.89 is: 334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.26 : 336.81 = 224.89 : x
  2. Step 2: Convert to fraction form
    226.26/336.81 = 224.89/x
  3. Step 3: Cross multiply
    226.26x = 336.81 × 224.89
  4. Step 4: Simplify right side
    226.26x = 75,745.20
  5. Step 5: Solve for x
    x = 75,745.20/226.26
  6. Step 6: Final answer
    x = 334.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.