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Finding the Fourth Proportional to 191.47, 263.97 and 163.72

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Solution

The fourth proportional to 191.47, 263.97 and 163.72 is: 225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.47 : 263.97 = 163.72 : x
  2. Step 2: Convert to fraction form
    191.47/263.97 = 163.72/x
  3. Step 3: Cross multiply
    191.47x = 263.97 × 163.72
  4. Step 4: Simplify right side
    191.47x = 43,217.17
  5. Step 5: Solve for x
    x = 43,217.17/191.47
  6. Step 6: Final answer
    x = 225.71

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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.