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Finding the Fourth Proportional to 816.26, 1,224.38 and 199.96

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Solution

The fourth proportional to 816.26, 1,224.38 and 199.96 is: 299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.26 : 1,224.38 = 199.96 : x
  2. Step 2: Convert to fraction form
    816.26/1,224.38 = 199.96/x
  3. Step 3: Cross multiply
    816.26x = 1,224.38 × 199.96
  4. Step 4: Simplify right side
    816.26x = 244,824.46
  5. Step 5: Solve for x
    x = 244,824.46/816.26
  6. Step 6: Final answer
    x = 299.94

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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.