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Finding the Fourth Proportional to 443.49, 665.46 and 199.97

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Solution

The fourth proportional to 443.49, 665.46 and 199.97 is: 300.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.49 : 665.46 = 199.97 : x
  2. Step 2: Convert to fraction form
    443.49/665.46 = 199.97/x
  3. Step 3: Cross multiply
    443.49x = 665.46 × 199.97
  4. Step 4: Simplify right side
    443.49x = 133,068.71
  5. Step 5: Solve for x
    x = 133,068.71/443.49
  6. Step 6: Final answer
    x = 300.05

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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.