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Finding the Fourth Proportional to 241.23, 333.15 and 195.09

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Solution

The fourth proportional to 241.23, 333.15 and 195.09 is: 269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.23 : 333.15 = 195.09 : x
  2. Step 2: Convert to fraction form
    241.23/333.15 = 195.09/x
  3. Step 3: Cross multiply
    241.23x = 333.15 × 195.09
  4. Step 4: Simplify right side
    241.23x = 64,994.23
  5. Step 5: Solve for x
    x = 64,994.23/241.23
  6. Step 6: Final answer
    x = 269.43

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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.