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Finding the Fourth Proportional to 273.46, 409.63 and 182.20

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Solution

The fourth proportional to 273.46, 409.63 and 182.20 is: 272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.46 : 409.63 = 182.20 : x
  2. Step 2: Convert to fraction form
    273.46/409.63 = 182.20/x
  3. Step 3: Cross multiply
    273.46x = 409.63 × 182.20
  4. Step 4: Simplify right side
    273.46x = 74,634.59
  5. Step 5: Solve for x
    x = 74,634.59/273.46
  6. Step 6: Final answer
    x = 272.93

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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.