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Finding the Fourth Proportional to 150.44, 226.79 and 140.85

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Solution

The fourth proportional to 150.44, 226.79 and 140.85 is: 212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.44 : 226.79 = 140.85 : x
  2. Step 2: Convert to fraction form
    150.44/226.79 = 140.85/x
  3. Step 3: Cross multiply
    150.44x = 226.79 × 140.85
  4. Step 4: Simplify right side
    150.44x = 31,942.67
  5. Step 5: Solve for x
    x = 31,942.67/150.44
  6. Step 6: Final answer
    x = 212.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.