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Finding the Fourth Proportional to 253.96, 380.94 and 200.14

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Solution

The fourth proportional to 253.96, 380.94 and 200.14 is: 300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.96 : 380.94 = 200.14 : x
  2. Step 2: Convert to fraction form
    253.96/380.94 = 200.14/x
  3. Step 3: Cross multiply
    253.96x = 380.94 × 200.14
  4. Step 4: Simplify right side
    253.96x = 76,241.33
  5. Step 5: Solve for x
    x = 76,241.33/253.96
  6. Step 6: Final answer
    x = 300.21

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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.