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Finding the Fourth Proportional to 216.30, 323.76 and 201.09

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Solution

The fourth proportional to 216.30, 323.76 and 201.09 is: 300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.30 : 323.76 = 201.09 : x
  2. Step 2: Convert to fraction form
    216.30/323.76 = 201.09/x
  3. Step 3: Cross multiply
    216.30x = 323.76 × 201.09
  4. Step 4: Simplify right side
    216.30x = 65,104.90
  5. Step 5: Solve for x
    x = 65,104.90/216.30
  6. Step 6: Final answer
    x = 300.99

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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.