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Finding the Fourth Proportional to 199.71, 301.10 and 169.49

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Solution

The fourth proportional to 199.71, 301.10 and 169.49 is: 255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.71 : 301.10 = 169.49 : x
  2. Step 2: Convert to fraction form
    199.71/301.10 = 169.49/x
  3. Step 3: Cross multiply
    199.71x = 301.10 × 169.49
  4. Step 4: Simplify right side
    199.71x = 51,033.44
  5. Step 5: Solve for x
    x = 51,033.44/199.71
  6. Step 6: Final answer
    x = 255.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.