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Finding the Fourth Proportional to 273.16, 409.38 and 200.68

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Solution

The fourth proportional to 273.16, 409.38 and 200.68 is: 300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.16 : 409.38 = 200.68 : x
  2. Step 2: Convert to fraction form
    273.16/409.38 = 200.68/x
  3. Step 3: Cross multiply
    273.16x = 409.38 × 200.68
  4. Step 4: Simplify right side
    273.16x = 82,154.38
  5. Step 5: Solve for x
    x = 82,154.38/273.16
  6. Step 6: Final answer
    x = 300.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.