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Finding the Fourth Proportional to 231.77, 319.78 and 143.21

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Solution

The fourth proportional to 231.77, 319.78 and 143.21 is: 197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.77 : 319.78 = 143.21 : x
  2. Step 2: Convert to fraction form
    231.77/319.78 = 143.21/x
  3. Step 3: Cross multiply
    231.77x = 319.78 × 143.21
  4. Step 4: Simplify right side
    231.77x = 45,795.69
  5. Step 5: Solve for x
    x = 45,795.69/231.77
  6. Step 6: Final answer
    x = 197.59

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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.