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Finding the Fourth Proportional to 226.19, 338.95 and 102.73

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Solution

The fourth proportional to 226.19, 338.95 and 102.73 is: 153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.19 : 338.95 = 102.73 : x
  2. Step 2: Convert to fraction form
    226.19/338.95 = 102.73/x
  3. Step 3: Cross multiply
    226.19x = 338.95 × 102.73
  4. Step 4: Simplify right side
    226.19x = 34,819.23
  5. Step 5: Solve for x
    x = 34,819.23/226.19
  6. Step 6: Final answer
    x = 153.94

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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.