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Finding the Fourth Proportional to 443.01, 664.25 and 169.12

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Solution

The fourth proportional to 443.01, 664.25 and 169.12 is: 253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.01 : 664.25 = 169.12 : x
  2. Step 2: Convert to fraction form
    443.01/664.25 = 169.12/x
  3. Step 3: Cross multiply
    443.01x = 664.25 × 169.12
  4. Step 4: Simplify right side
    443.01x = 112,337.96
  5. Step 5: Solve for x
    x = 112,337.96/443.01
  6. Step 6: Final answer
    x = 253.58

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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.