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Finding the Fourth Proportional to 241.94, 363.25 and 150.37

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Solution

The fourth proportional to 241.94, 363.25 and 150.37 is: 225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.94 : 363.25 = 150.37 : x
  2. Step 2: Convert to fraction form
    241.94/363.25 = 150.37/x
  3. Step 3: Cross multiply
    241.94x = 363.25 × 150.37
  4. Step 4: Simplify right side
    241.94x = 54,620.62
  5. Step 5: Solve for x
    x = 54,620.62/241.94
  6. Step 6: Final answer
    x = 225.76

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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.