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Finding the Fourth Proportional to 169.68, 252.99 and 169.44

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Solution

The fourth proportional to 169.68, 252.99 and 169.44 is: 252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.68 : 252.99 = 169.44 : x
  2. Step 2: Convert to fraction form
    169.68/252.99 = 169.44/x
  3. Step 3: Cross multiply
    169.68x = 252.99 × 169.44
  4. Step 4: Simplify right side
    169.68x = 42,867.05
  5. Step 5: Solve for x
    x = 42,867.05/169.68
  6. Step 6: Final answer
    x = 252.64

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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.