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Finding the Fourth Proportional to 169.82, 254.34 and 164.06

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Solution

The fourth proportional to 169.82, 254.34 and 164.06 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.82 : 254.34 = 164.06 : x
  2. Step 2: Convert to fraction form
    169.82/254.34 = 164.06/x
  3. Step 3: Cross multiply
    169.82x = 254.34 × 164.06
  4. Step 4: Simplify right side
    169.82x = 41,727.02
  5. Step 5: Solve for x
    x = 41,727.02/169.82
  6. Step 6: Final answer
    x = 245.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.