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Finding the Fourth Proportional to 236.09, 353.69 and 197.82

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Solution

The fourth proportional to 236.09, 353.69 and 197.82 is: 296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.09 : 353.69 = 197.82 : x
  2. Step 2: Convert to fraction form
    236.09/353.69 = 197.82/x
  3. Step 3: Cross multiply
    236.09x = 353.69 × 197.82
  4. Step 4: Simplify right side
    236.09x = 69,965.97
  5. Step 5: Solve for x
    x = 69,965.97/236.09
  6. Step 6: Final answer
    x = 296.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.