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Finding the Fourth Proportional to 443.16, 664.85 and 199.63

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Solution

The fourth proportional to 443.16, 664.85 and 199.63 is: 299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.16 : 664.85 = 199.63 : x
  2. Step 2: Convert to fraction form
    443.16/664.85 = 199.63/x
  3. Step 3: Cross multiply
    443.16x = 664.85 × 199.63
  4. Step 4: Simplify right side
    443.16x = 132,721.60
  5. Step 5: Solve for x
    x = 132,721.60/443.16
  6. Step 6: Final answer
    x = 299.49

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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.