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Finding the Fourth Proportional to 273.24, 409.84 and 67.80

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Solution

The fourth proportional to 273.24, 409.84 and 67.80 is: 101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.24 : 409.84 = 67.80 : x
  2. Step 2: Convert to fraction form
    273.24/409.84 = 67.80/x
  3. Step 3: Cross multiply
    273.24x = 409.84 × 67.80
  4. Step 4: Simplify right side
    273.24x = 27,785.70
  5. Step 5: Solve for x
    x = 27,785.70/273.24
  6. Step 6: Final answer
    x = 101.69

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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.