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Finding the Fourth Proportional to 241.27, 333.19 and 206.09

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Solution

The fourth proportional to 241.27, 333.19 and 206.09 is: 284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.27 : 333.19 = 206.09 : x
  2. Step 2: Convert to fraction form
    241.27/333.19 = 206.09/x
  3. Step 3: Cross multiply
    241.27x = 333.19 × 206.09
  4. Step 4: Simplify right side
    241.27x = 68,668.03
  5. Step 5: Solve for x
    x = 68,668.03/241.27
  6. Step 6: Final answer
    x = 284.61

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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.