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Finding the Fourth Proportional to 150.75, 226.26 and 77.76

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Solution

The fourth proportional to 150.75, 226.26 and 77.76 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 226.26 = 77.76 : x
  2. Step 2: Convert to fraction form
    150.75/226.26 = 77.76/x
  3. Step 3: Cross multiply
    150.75x = 226.26 × 77.76
  4. Step 4: Simplify right side
    150.75x = 17,593.98
  5. Step 5: Solve for x
    x = 17,593.98/150.75
  6. Step 6: Final answer
    x = 116.71

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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.