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Finding the Fourth Proportional to 226.26, 339.54 and 110.73

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Solution

The fourth proportional to 226.26, 339.54 and 110.73 is: 166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.26 : 339.54 = 110.73 : x
  2. Step 2: Convert to fraction form
    226.26/339.54 = 110.73/x
  3. Step 3: Cross multiply
    226.26x = 339.54 × 110.73
  4. Step 4: Simplify right side
    226.26x = 37,597.26
  5. Step 5: Solve for x
    x = 37,597.26/226.26
  6. Step 6: Final answer
    x = 166.17

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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.