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Finding the Fourth Proportional to 226.20, 339.20 and 89.20

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Solution

The fourth proportional to 226.20, 339.20 and 89.20 is: 133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.20 : 339.20 = 89.20 : x
  2. Step 2: Convert to fraction form
    226.20/339.20 = 89.20/x
  3. Step 3: Cross multiply
    226.20x = 339.20 × 89.20
  4. Step 4: Simplify right side
    226.20x = 30,256.64
  5. Step 5: Solve for x
    x = 30,256.64/226.20
  6. Step 6: Final answer
    x = 133.76

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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.