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Finding the Fourth Proportional to 169.19, 231.96 and 164.60

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Solution

The fourth proportional to 169.19, 231.96 and 164.60 is: 225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.19 : 231.96 = 164.60 : x
  2. Step 2: Convert to fraction form
    169.19/231.96 = 164.60/x
  3. Step 3: Cross multiply
    169.19x = 231.96 × 164.60
  4. Step 4: Simplify right side
    169.19x = 38,179.55
  5. Step 5: Solve for x
    x = 38,179.55/169.19
  6. Step 6: Final answer
    x = 225.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.