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Finding the Fourth Proportional to 236.56, 326.12 and 205.42

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Solution

The fourth proportional to 236.56, 326.12 and 205.42 is: 283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.56 : 326.12 = 205.42 : x
  2. Step 2: Convert to fraction form
    236.56/326.12 = 205.42/x
  3. Step 3: Cross multiply
    236.56x = 326.12 × 205.42
  4. Step 4: Simplify right side
    236.56x = 66,991.57
  5. Step 5: Solve for x
    x = 66,991.57/236.56
  6. Step 6: Final answer
    x = 283.19

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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.