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Finding the Fourth Proportional to 379.86, 569.79 and 163.31

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Solution

The fourth proportional to 379.86, 569.79 and 163.31 is: 244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.86 : 569.79 = 163.31 : x
  2. Step 2: Convert to fraction form
    379.86/569.79 = 163.31/x
  3. Step 3: Cross multiply
    379.86x = 569.79 × 163.31
  4. Step 4: Simplify right side
    379.86x = 93,049.56
  5. Step 5: Solve for x
    x = 93,049.56/379.86
  6. Step 6: Final answer
    x = 244.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.