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Finding the Fourth Proportional to 236.72, 326.42 and 205.36

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Solution

The fourth proportional to 236.72, 326.42 and 205.36 is: 283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.72 : 326.42 = 205.36 : x
  2. Step 2: Convert to fraction form
    236.72/326.42 = 205.36/x
  3. Step 3: Cross multiply
    236.72x = 326.42 × 205.36
  4. Step 4: Simplify right side
    236.72x = 67,033.17
  5. Step 5: Solve for x
    x = 67,033.17/236.72
  6. Step 6: Final answer
    x = 283.17

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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.