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Finding the Fourth Proportional to 382.86, 574.34 and 163.46

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Solution

The fourth proportional to 382.86, 574.34 and 163.46 is: 245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.86 : 574.34 = 163.46 : x
  2. Step 2: Convert to fraction form
    382.86/574.34 = 163.46/x
  3. Step 3: Cross multiply
    382.86x = 574.34 × 163.46
  4. Step 4: Simplify right side
    382.86x = 93,881.62
  5. Step 5: Solve for x
    x = 93,881.62/382.86
  6. Step 6: Final answer
    x = 245.21

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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.