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Finding the Fourth Proportional to 150.68, 226.10 and 112.24

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Solution

The fourth proportional to 150.68, 226.10 and 112.24 is: 168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.68 : 226.10 = 112.24 : x
  2. Step 2: Convert to fraction form
    150.68/226.10 = 112.24/x
  3. Step 3: Cross multiply
    150.68x = 226.10 × 112.24
  4. Step 4: Simplify right side
    150.68x = 25,377.46
  5. Step 5: Solve for x
    x = 25,377.46/150.68
  6. Step 6: Final answer
    x = 168.42

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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.