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Finding the Fourth Proportional to 443.26, 664.89 and 199.50

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Solution

The fourth proportional to 443.26, 664.89 and 199.50 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.26 : 664.89 = 199.50 : x
  2. Step 2: Convert to fraction form
    443.26/664.89 = 199.50/x
  3. Step 3: Cross multiply
    443.26x = 664.89 × 199.50
  4. Step 4: Simplify right side
    443.26x = 132,642.90
  5. Step 5: Solve for x
    x = 132,642.90/443.26
  6. Step 6: Final answer
    x = 299.25

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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.