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Finding the Fourth Proportional to 169.29, 252.28 and 164.60

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Solution

The fourth proportional to 169.29, 252.28 and 164.60 is: 245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.29 : 252.28 = 164.60 : x
  2. Step 2: Convert to fraction form
    169.29/252.28 = 164.60/x
  3. Step 3: Cross multiply
    169.29x = 252.28 × 164.60
  4. Step 4: Simplify right side
    169.29x = 41,525.29
  5. Step 5: Solve for x
    x = 41,525.29/169.29
  6. Step 6: Final answer
    x = 245.29

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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.