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Finding the Fourth Proportional to 216.96, 326.62 and 197.82

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Solution

The fourth proportional to 216.96, 326.62 and 197.82 is: 297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.96 : 326.62 = 197.82 : x
  2. Step 2: Convert to fraction form
    216.96/326.62 = 197.82/x
  3. Step 3: Cross multiply
    216.96x = 326.62 × 197.82
  4. Step 4: Simplify right side
    216.96x = 64,611.97
  5. Step 5: Solve for x
    x = 64,611.97/216.96
  6. Step 6: Final answer
    x = 297.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.