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Finding the Fourth Proportional to 443.70, 665.84 and 200.22

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Solution

The fourth proportional to 443.70, 665.84 and 200.22 is: 300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.70 : 665.84 = 200.22 : x
  2. Step 2: Convert to fraction form
    443.70/665.84 = 200.22/x
  3. Step 3: Cross multiply
    443.70x = 665.84 × 200.22
  4. Step 4: Simplify right side
    443.70x = 133,313.48
  5. Step 5: Solve for x
    x = 133,313.48/443.70
  6. Step 6: Final answer
    x = 300.46

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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.