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Finding the Fourth Proportional to 167.96, 250.26 and 157.47

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Solution

The fourth proportional to 167.96, 250.26 and 157.47 is: 234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.96 : 250.26 = 157.47 : x
  2. Step 2: Convert to fraction form
    167.96/250.26 = 157.47/x
  3. Step 3: Cross multiply
    167.96x = 250.26 × 157.47
  4. Step 4: Simplify right side
    167.96x = 39,408.44
  5. Step 5: Solve for x
    x = 39,408.44/167.96
  6. Step 6: Final answer
    x = 234.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.