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Finding the Fourth Proportional to 169.88, 254.81 and 161.22

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Solution

The fourth proportional to 169.88, 254.81 and 161.22 is: 241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.88 : 254.81 = 161.22 : x
  2. Step 2: Convert to fraction form
    169.88/254.81 = 161.22/x
  3. Step 3: Cross multiply
    169.88x = 254.81 × 161.22
  4. Step 4: Simplify right side
    169.88x = 41,081.83
  5. Step 5: Solve for x
    x = 41,081.83/169.88
  6. Step 6: Final answer
    x = 241.84

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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.