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Finding the Fourth Proportional to 226.46, 339.78 and 109.37

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Solution

The fourth proportional to 226.46, 339.78 and 109.37 is: 164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.46 : 339.78 = 109.37 : x
  2. Step 2: Convert to fraction form
    226.46/339.78 = 109.37/x
  3. Step 3: Cross multiply
    226.46x = 339.78 × 109.37
  4. Step 4: Simplify right side
    226.46x = 37,160.04
  5. Step 5: Solve for x
    x = 37,160.04/226.46
  6. Step 6: Final answer
    x = 164.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.