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Finding the Fourth Proportional to 169.20, 231.93 and 165.06

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Solution

The fourth proportional to 169.20, 231.93 and 165.06 is: 226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.20 : 231.93 = 165.06 : x
  2. Step 2: Convert to fraction form
    169.20/231.93 = 165.06/x
  3. Step 3: Cross multiply
    169.20x = 231.93 × 165.06
  4. Step 4: Simplify right side
    169.20x = 38,282.37
  5. Step 5: Solve for x
    x = 38,282.37/169.20
  6. Step 6: Final answer
    x = 226.26

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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.