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Finding the Fourth Proportional to 443.86, 665.31 and 169.84

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Solution

The fourth proportional to 443.86, 665.31 and 169.84 is: 254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.86 : 665.31 = 169.84 : x
  2. Step 2: Convert to fraction form
    443.86/665.31 = 169.84/x
  3. Step 3: Cross multiply
    443.86x = 665.31 × 169.84
  4. Step 4: Simplify right side
    443.86x = 112,996.25
  5. Step 5: Solve for x
    x = 112,996.25/443.86
  6. Step 6: Final answer
    x = 254.58

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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.