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Finding the Fourth Proportional to 226.67, 339.71 and 110.88

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Solution

The fourth proportional to 226.67, 339.71 and 110.88 is: 166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.67 : 339.71 = 110.88 : x
  2. Step 2: Convert to fraction form
    226.67/339.71 = 110.88/x
  3. Step 3: Cross multiply
    226.67x = 339.71 × 110.88
  4. Step 4: Simplify right side
    226.67x = 37,667.04
  5. Step 5: Solve for x
    x = 37,667.04/226.67
  6. Step 6: Final answer
    x = 166.18

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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.