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Finding the Fourth Proportional to 241.96, 361.33 and 229.48

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Solution

The fourth proportional to 241.96, 361.33 and 229.48 is: 342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.96 : 361.33 = 229.48 : x
  2. Step 2: Convert to fraction form
    241.96/361.33 = 229.48/x
  3. Step 3: Cross multiply
    241.96x = 361.33 × 229.48
  4. Step 4: Simplify right side
    241.96x = 82,918.01
  5. Step 5: Solve for x
    x = 82,918.01/241.96
  6. Step 6: Final answer
    x = 342.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.