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Finding the Fourth Proportional to 443.50, 665.39 and 200.05

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Solution

The fourth proportional to 443.50, 665.39 and 200.05 is: 300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.50 : 665.39 = 200.05 : x
  2. Step 2: Convert to fraction form
    443.50/665.39 = 200.05/x
  3. Step 3: Cross multiply
    443.50x = 665.39 × 200.05
  4. Step 4: Simplify right side
    443.50x = 133,111.27
  5. Step 5: Solve for x
    x = 133,111.27/443.50
  6. Step 6: Final answer
    x = 300.14

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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.