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Finding the Fourth Proportional to 226.56, 339.63 and 110.94

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Solution

The fourth proportional to 226.56, 339.63 and 110.94 is: 166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.56 : 339.63 = 110.94 : x
  2. Step 2: Convert to fraction form
    226.56/339.63 = 110.94/x
  3. Step 3: Cross multiply
    226.56x = 339.63 × 110.94
  4. Step 4: Simplify right side
    226.56x = 37,680.20
  5. Step 5: Solve for x
    x = 37,680.20/226.56
  6. Step 6: Final answer
    x = 166.31

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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.