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Finding the Fourth Proportional to 273.69, 409.50 and 168.18

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Solution

The fourth proportional to 273.69, 409.50 and 168.18 is: 251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.69 : 409.50 = 168.18 : x
  2. Step 2: Convert to fraction form
    273.69/409.50 = 168.18/x
  3. Step 3: Cross multiply
    273.69x = 409.50 × 168.18
  4. Step 4: Simplify right side
    273.69x = 68,868.87
  5. Step 5: Solve for x
    x = 68,868.87/273.69
  6. Step 6: Final answer
    x = 251.64

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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.