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Finding the Fourth Proportional to 382.26, 573.54 and 199.53

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Solution

The fourth proportional to 382.26, 573.54 and 199.53 is: 299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.26 : 573.54 = 199.53 : x
  2. Step 2: Convert to fraction form
    382.26/573.54 = 199.53/x
  3. Step 3: Cross multiply
    382.26x = 573.54 × 199.53
  4. Step 4: Simplify right side
    382.26x = 114,438.44
  5. Step 5: Solve for x
    x = 114,438.44/382.26
  6. Step 6: Final answer
    x = 299.37

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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.