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Finding the Fourth Proportional to 443.18, 664.55 and 169.10

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Solution

The fourth proportional to 443.18, 664.55 and 169.10 is: 253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.18 : 664.55 = 169.10 : x
  2. Step 2: Convert to fraction form
    443.18/664.55 = 169.10/x
  3. Step 3: Cross multiply
    443.18x = 664.55 × 169.10
  4. Step 4: Simplify right side
    443.18x = 112,372.08
  5. Step 5: Solve for x
    x = 112,372.08/443.18
  6. Step 6: Final answer
    x = 253.56

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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.