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Finding the Fourth Proportional to 231.81, 319.64 and 196.98

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Solution

The fourth proportional to 231.81, 319.64 and 196.98 is: 271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.81 : 319.64 = 196.98 : x
  2. Step 2: Convert to fraction form
    231.81/319.64 = 196.98/x
  3. Step 3: Cross multiply
    231.81x = 319.64 × 196.98
  4. Step 4: Simplify right side
    231.81x = 62,962.69
  5. Step 5: Solve for x
    x = 62,962.69/231.81
  6. Step 6: Final answer
    x = 271.61

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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.