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Finding the Fourth Proportional to 226.14, 339.23 and 89.16

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Solution

The fourth proportional to 226.14, 339.23 and 89.16 is: 133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.14 : 339.23 = 89.16 : x
  2. Step 2: Convert to fraction form
    226.14/339.23 = 89.16/x
  3. Step 3: Cross multiply
    226.14x = 339.23 × 89.16
  4. Step 4: Simplify right side
    226.14x = 30,245.75
  5. Step 5: Solve for x
    x = 30,245.75/226.14
  6. Step 6: Final answer
    x = 133.75

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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.