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Finding the Fourth Proportional to 169.91, 252.98 and 169.10

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Solution

The fourth proportional to 169.91, 252.98 and 169.10 is: 251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.91 : 252.98 = 169.10 : x
  2. Step 2: Convert to fraction form
    169.91/252.98 = 169.10/x
  3. Step 3: Cross multiply
    169.91x = 252.98 × 169.10
  4. Step 4: Simplify right side
    169.91x = 42,778.92
  5. Step 5: Solve for x
    x = 42,778.92/169.91
  6. Step 6: Final answer
    x = 251.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.