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Finding the Fourth Proportional to 382.97, 574.58 and 163.65

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Solution

The fourth proportional to 382.97, 574.58 and 163.65 is: 245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.97 : 574.58 = 163.65 : x
  2. Step 2: Convert to fraction form
    382.97/574.58 = 163.65/x
  3. Step 3: Cross multiply
    382.97x = 574.58 × 163.65
  4. Step 4: Simplify right side
    382.97x = 94,029.20
  5. Step 5: Solve for x
    x = 94,029.20/382.97
  6. Step 6: Final answer
    x = 245.53

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