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Finding the Fourth Proportional to 241.26, 361.17 and 229.74

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Solution

The fourth proportional to 241.26, 361.17 and 229.74 is: 343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.26 : 361.17 = 229.74 : x
  2. Step 2: Convert to fraction form
    241.26/361.17 = 229.74/x
  3. Step 3: Cross multiply
    241.26x = 361.17 × 229.74
  4. Step 4: Simplify right side
    241.26x = 82,975.20
  5. Step 5: Solve for x
    x = 82,975.20/241.26
  6. Step 6: Final answer
    x = 343.92

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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.