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Finding the Fourth Proportional to 273.00, 409.09 and 200.50

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Solution

The fourth proportional to 273.00, 409.09 and 200.50 is: 300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.00 : 409.09 = 200.50 : x
  2. Step 2: Convert to fraction form
    273.00/409.09 = 200.50/x
  3. Step 3: Cross multiply
    273.00x = 409.09 × 200.50
  4. Step 4: Simplify right side
    273.00x = 82,022.27
  5. Step 5: Solve for x
    x = 82,022.27/273.00
  6. Step 6: Final answer
    x = 300.45

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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.