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Finding the Fourth Proportional to 243.27, 335.75 and 206.28

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Solution

The fourth proportional to 243.27, 335.75 and 206.28 is: 284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.27 : 335.75 = 206.28 : x
  2. Step 2: Convert to fraction form
    243.27/335.75 = 206.28/x
  3. Step 3: Cross multiply
    243.27x = 335.75 × 206.28
  4. Step 4: Simplify right side
    243.27x = 69,257.48
  5. Step 5: Solve for x
    x = 69,257.48/243.27
  6. Step 6: Final answer
    x = 284.69

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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.