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Finding the Fourth Proportional to 216.72, 324.26 and 196.46

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Solution

The fourth proportional to 216.72, 324.26 and 196.46 is: 293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.72 : 324.26 = 196.46 : x
  2. Step 2: Convert to fraction form
    216.72/324.26 = 196.46/x
  3. Step 3: Cross multiply
    216.72x = 324.26 × 196.46
  4. Step 4: Simplify right side
    216.72x = 63,704.12
  5. Step 5: Solve for x
    x = 63,704.12/216.72
  6. Step 6: Final answer
    x = 293.95

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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.