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Finding the Fourth Proportional to 226.29, 336.71 and 221.43

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Solution

The fourth proportional to 226.29, 336.71 and 221.43 is: 329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.29 : 336.71 = 221.43 : x
  2. Step 2: Convert to fraction form
    226.29/336.71 = 221.43/x
  3. Step 3: Cross multiply
    226.29x = 336.71 × 221.43
  4. Step 4: Simplify right side
    226.29x = 74,558.27
  5. Step 5: Solve for x
    x = 74,558.27/226.29
  6. Step 6: Final answer
    x = 329.48

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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.