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Finding the Fourth Proportional to 236.25, 326.16 and 208.44

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Solution

The fourth proportional to 236.25, 326.16 and 208.44 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.25 : 326.16 = 208.44 : x
  2. Step 2: Convert to fraction form
    236.25/326.16 = 208.44/x
  3. Step 3: Cross multiply
    236.25x = 326.16 × 208.44
  4. Step 4: Simplify right side
    236.25x = 67,984.79
  5. Step 5: Solve for x
    x = 67,984.79/236.25
  6. Step 6: Final answer
    x = 287.77

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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.