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Finding the Fourth Proportional to 150.83, 226.26 and 107.49

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Solution

The fourth proportional to 150.83, 226.26 and 107.49 is: 161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.83 : 226.26 = 107.49 : x
  2. Step 2: Convert to fraction form
    150.83/226.26 = 107.49/x
  3. Step 3: Cross multiply
    150.83x = 226.26 × 107.49
  4. Step 4: Simplify right side
    150.83x = 24,320.69
  5. Step 5: Solve for x
    x = 24,320.69/150.83
  6. Step 6: Final answer
    x = 161.25

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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.