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Finding the Fourth Proportional to 382.54, 574.08 and 199.96

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Solution

The fourth proportional to 382.54, 574.08 and 199.96 is: 300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.54 : 574.08 = 199.96 : x
  2. Step 2: Convert to fraction form
    382.54/574.08 = 199.96/x
  3. Step 3: Cross multiply
    382.54x = 574.08 × 199.96
  4. Step 4: Simplify right side
    382.54x = 114,793.04
  5. Step 5: Solve for x
    x = 114,793.04/382.54
  6. Step 6: Final answer
    x = 300.08

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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.