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Finding the Fourth Proportional to 443.24, 665.10 and 169.52

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Solution

The fourth proportional to 443.24, 665.10 and 169.52 is: 254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.24 : 665.10 = 169.52 : x
  2. Step 2: Convert to fraction form
    443.24/665.10 = 169.52/x
  3. Step 3: Cross multiply
    443.24x = 665.10 × 169.52
  4. Step 4: Simplify right side
    443.24x = 112,744.43
  5. Step 5: Solve for x
    x = 112,744.43/443.24
  6. Step 6: Final answer
    x = 254.37

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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.