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Finding the Fourth Proportional to 443.27, 665.06 and 199.90

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Solution

The fourth proportional to 443.27, 665.06 and 199.90 is: 299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.27 : 665.06 = 199.90 : x
  2. Step 2: Convert to fraction form
    443.27/665.06 = 199.90/x
  3. Step 3: Cross multiply
    443.27x = 665.06 × 199.90
  4. Step 4: Simplify right side
    443.27x = 132,945.49
  5. Step 5: Solve for x
    x = 132,945.49/443.27
  6. Step 6: Final answer
    x = 299.92

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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.