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Finding the Fourth Proportional to 241.31, 332.37 and 204.26

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Solution

The fourth proportional to 241.31, 332.37 and 204.26 is: 281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.31 : 332.37 = 204.26 : x
  2. Step 2: Convert to fraction form
    241.31/332.37 = 204.26/x
  3. Step 3: Cross multiply
    241.31x = 332.37 × 204.26
  4. Step 4: Simplify right side
    241.31x = 67,888.23
  5. Step 5: Solve for x
    x = 67,888.23/241.31
  6. Step 6: Final answer
    x = 281.33

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