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Finding the Fourth Proportional to 241.13, 332.42 and 199.09

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Solution

The fourth proportional to 241.13, 332.42 and 199.09 is: 274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.13 : 332.42 = 199.09 : x
  2. Step 2: Convert to fraction form
    241.13/332.42 = 199.09/x
  3. Step 3: Cross multiply
    241.13x = 332.42 × 199.09
  4. Step 4: Simplify right side
    241.13x = 66,182.04
  5. Step 5: Solve for x
    x = 66,182.04/241.13
  6. Step 6: Final answer
    x = 274.47

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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.