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Finding the Fourth Proportional to 241.87, 363.14 and 150.29

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Solution

The fourth proportional to 241.87, 363.14 and 150.29 is: 225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.87 : 363.14 = 150.29 : x
  2. Step 2: Convert to fraction form
    241.87/363.14 = 150.29/x
  3. Step 3: Cross multiply
    241.87x = 363.14 × 150.29
  4. Step 4: Simplify right side
    241.87x = 54,576.31
  5. Step 5: Solve for x
    x = 54,576.31/241.87
  6. Step 6: Final answer
    x = 225.64

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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.