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Finding the Fourth Proportional to 216.82, 323.11 and 216.46

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Solution

The fourth proportional to 216.82, 323.11 and 216.46 is: 322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.82 : 323.11 = 216.46 : x
  2. Step 2: Convert to fraction form
    216.82/323.11 = 216.46/x
  3. Step 3: Cross multiply
    216.82x = 323.11 × 216.46
  4. Step 4: Simplify right side
    216.82x = 69,940.39
  5. Step 5: Solve for x
    x = 69,940.39/216.82
  6. Step 6: Final answer
    x = 322.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.