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Finding the Fourth Proportional to 241.96, 334 and 205.31

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Solution

The fourth proportional to 241.96, 334 and 205.31 is: 283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.96 : 334 = 205.31 : x
  2. Step 2: Convert to fraction form
    241.96/334 = 205.31/x
  3. Step 3: Cross multiply
    241.96x = 334 × 205.31
  4. Step 4: Simplify right side
    241.96x = 68,573.54
  5. Step 5: Solve for x
    x = 68,573.54/241.96
  6. Step 6: Final answer
    x = 283.41

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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.