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Finding the Fourth Proportional to 216.68, 326.14 and 197.84

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Solution

The fourth proportional to 216.68, 326.14 and 197.84 is: 297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.68 : 326.14 = 197.84 : x
  2. Step 2: Convert to fraction form
    216.68/326.14 = 197.84/x
  3. Step 3: Cross multiply
    216.68x = 326.14 × 197.84
  4. Step 4: Simplify right side
    216.68x = 64,523.54
  5. Step 5: Solve for x
    x = 64,523.54/216.68
  6. Step 6: Final answer
    x = 297.78

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