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Finding the Fourth Proportional to 216.64, 324.24 and 200.80

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Solution

The fourth proportional to 216.64, 324.24 and 200.80 is: 300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.64 : 324.24 = 200.80 : x
  2. Step 2: Convert to fraction form
    216.64/324.24 = 200.80/x
  3. Step 3: Cross multiply
    216.64x = 324.24 × 200.80
  4. Step 4: Simplify right side
    216.64x = 65,107.39
  5. Step 5: Solve for x
    x = 65,107.39/216.64
  6. Step 6: Final answer
    x = 300.53

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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.