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Finding the Fourth Proportional to 236.32, 324.76 and 197.44

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Solution

The fourth proportional to 236.32, 324.76 and 197.44 is: 271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.32 : 324.76 = 197.44 : x
  2. Step 2: Convert to fraction form
    236.32/324.76 = 197.44/x
  3. Step 3: Cross multiply
    236.32x = 324.76 × 197.44
  4. Step 4: Simplify right side
    236.32x = 64,120.61
  5. Step 5: Solve for x
    x = 64,120.61/236.32
  6. Step 6: Final answer
    x = 271.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.