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Finding the Fourth Proportional to 226.38, 339.65 and 89.35

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Solution

The fourth proportional to 226.38, 339.65 and 89.35 is: 134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.38 : 339.65 = 89.35 : x
  2. Step 2: Convert to fraction form
    226.38/339.65 = 89.35/x
  3. Step 3: Cross multiply
    226.38x = 339.65 × 89.35
  4. Step 4: Simplify right side
    226.38x = 30,348.68
  5. Step 5: Solve for x
    x = 30,348.68/226.38
  6. Step 6: Final answer
    x = 134.06

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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.