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Finding the Fourth Proportional to 443.70, 665.23 and 196.78

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Solution

The fourth proportional to 443.70, 665.23 and 196.78 is: 295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.70 : 665.23 = 196.78 : x
  2. Step 2: Convert to fraction form
    443.70/665.23 = 196.78/x
  3. Step 3: Cross multiply
    443.70x = 665.23 × 196.78
  4. Step 4: Simplify right side
    443.70x = 130,903.96
  5. Step 5: Solve for x
    x = 130,903.96/443.70
  6. Step 6: Final answer
    x = 295.03

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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.