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Finding the Fourth Proportional to 231.22, 319.09 and 157.41

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Solution

The fourth proportional to 231.22, 319.09 and 157.41 is: 217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.22 : 319.09 = 157.41 : x
  2. Step 2: Convert to fraction form
    231.22/319.09 = 157.41/x
  3. Step 3: Cross multiply
    231.22x = 319.09 × 157.41
  4. Step 4: Simplify right side
    231.22x = 50,227.96
  5. Step 5: Solve for x
    x = 50,227.96/231.22
  6. Step 6: Final answer
    x = 217.23

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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.