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Finding the Fourth Proportional to 382.98, 574.59 and 163.59

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Solution

The fourth proportional to 382.98, 574.59 and 163.59 is: 245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.98 : 574.59 = 163.59 : x
  2. Step 2: Convert to fraction form
    382.98/574.59 = 163.59/x
  3. Step 3: Cross multiply
    382.98x = 574.59 × 163.59
  4. Step 4: Simplify right side
    382.98x = 93,997.18
  5. Step 5: Solve for x
    x = 93,997.18/382.98
  6. Step 6: Final answer
    x = 245.44

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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.