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Finding the Fourth Proportional to 236.58, 326.26 and 205.44

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Solution

The fourth proportional to 236.58, 326.26 and 205.44 is: 283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.58 : 326.26 = 205.44 : x
  2. Step 2: Convert to fraction form
    236.58/326.26 = 205.44/x
  3. Step 3: Cross multiply
    236.58x = 326.26 × 205.44
  4. Step 4: Simplify right side
    236.58x = 67,026.85
  5. Step 5: Solve for x
    x = 67,026.85/236.58
  6. Step 6: Final answer
    x = 283.32

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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.