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Finding the Fourth Proportional to 151.35, 226.84 and 107.78

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Solution

The fourth proportional to 151.35, 226.84 and 107.78 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.35 : 226.84 = 107.78 : x
  2. Step 2: Convert to fraction form
    151.35/226.84 = 107.78/x
  3. Step 3: Cross multiply
    151.35x = 226.84 × 107.78
  4. Step 4: Simplify right side
    151.35x = 24,449.09
  5. Step 5: Solve for x
    x = 24,449.09/151.35
  6. Step 6: Final answer
    x = 161.54

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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.