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Finding the Fourth Proportional to 241.88, 334.10 and 205.43

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Solution

The fourth proportional to 241.88, 334.10 and 205.43 is: 283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.88 : 334.10 = 205.43 : x
  2. Step 2: Convert to fraction form
    241.88/334.10 = 205.43/x
  3. Step 3: Cross multiply
    241.88x = 334.10 × 205.43
  4. Step 4: Simplify right side
    241.88x = 68,633.01
  5. Step 5: Solve for x
    x = 68,633.01/241.88
  6. Step 6: Final answer
    x = 283.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.