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Finding the Fourth Proportional to 150.91, 226.14 and 120.34

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Solution

The fourth proportional to 150.91, 226.14 and 120.34 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.91 : 226.14 = 120.34 : x
  2. Step 2: Convert to fraction form
    150.91/226.14 = 120.34/x
  3. Step 3: Cross multiply
    150.91x = 226.14 × 120.34
  4. Step 4: Simplify right side
    150.91x = 27,213.69
  5. Step 5: Solve for x
    x = 27,213.69/150.91
  6. Step 6: Final answer
    x = 180.33

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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.