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Finding the Fourth Proportional to 382.70, 574.34 and 200.14

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Solution

The fourth proportional to 382.70, 574.34 and 200.14 is: 300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.70 : 574.34 = 200.14 : x
  2. Step 2: Convert to fraction form
    382.70/574.34 = 200.14/x
  3. Step 3: Cross multiply
    382.70x = 574.34 × 200.14
  4. Step 4: Simplify right side
    382.70x = 114,948.41
  5. Step 5: Solve for x
    x = 114,948.41/382.70
  6. Step 6: Final answer
    x = 300.36

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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.