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Finding the Fourth Proportional to 216.41, 323.80 and 201.52

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Solution

The fourth proportional to 216.41, 323.80 and 201.52 is: 301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.41 : 323.80 = 201.52 : x
  2. Step 2: Convert to fraction form
    216.41/323.80 = 201.52/x
  3. Step 3: Cross multiply
    216.41x = 323.80 × 201.52
  4. Step 4: Simplify right side
    216.41x = 65,252.08
  5. Step 5: Solve for x
    x = 65,252.08/216.41
  6. Step 6: Final answer
    x = 301.53

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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.