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Finding the Fourth Proportional to 273.49, 409.83 and 186.82

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Solution

The fourth proportional to 273.49, 409.83 and 186.82 is: 279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.49 : 409.83 = 186.82 : x
  2. Step 2: Convert to fraction form
    273.49/409.83 = 186.82/x
  3. Step 3: Cross multiply
    273.49x = 409.83 × 186.82
  4. Step 4: Simplify right side
    273.49x = 76,564.44
  5. Step 5: Solve for x
    x = 76,564.44/273.49
  6. Step 6: Final answer
    x = 279.95

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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.