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Finding the Fourth Proportional to 231.82, 319.90 and 166.44

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Solution

The fourth proportional to 231.82, 319.90 and 166.44 is: 229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.82 : 319.90 = 166.44 : x
  2. Step 2: Convert to fraction form
    231.82/319.90 = 166.44/x
  3. Step 3: Cross multiply
    231.82x = 319.90 × 166.44
  4. Step 4: Simplify right side
    231.82x = 53,244.16
  5. Step 5: Solve for x
    x = 53,244.16/231.82
  6. Step 6: Final answer
    x = 229.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.