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Finding the Fourth Proportional to 169.77, 252.99 and 164.27

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Solution

The fourth proportional to 169.77, 252.99 and 164.27 is: 244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.77 : 252.99 = 164.27 : x
  2. Step 2: Convert to fraction form
    169.77/252.99 = 164.27/x
  3. Step 3: Cross multiply
    169.77x = 252.99 × 164.27
  4. Step 4: Simplify right side
    169.77x = 41,557.40
  5. Step 5: Solve for x
    x = 41,557.40/169.77
  6. Step 6: Final answer
    x = 244.79

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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.