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Finding the Fourth Proportional to 382.63, 573.94 and 163.12

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Solution

The fourth proportional to 382.63, 573.94 and 163.12 is: 244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.63 : 573.94 = 163.12 : x
  2. Step 2: Convert to fraction form
    382.63/573.94 = 163.12/x
  3. Step 3: Cross multiply
    382.63x = 573.94 × 163.12
  4. Step 4: Simplify right side
    382.63x = 93,617.41
  5. Step 5: Solve for x
    x = 93,617.41/382.63
  6. Step 6: Final answer
    x = 244.67

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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.