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Finding the Fourth Proportional to 272.83, 409.71 and 182.11

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Solution

The fourth proportional to 272.83, 409.71 and 182.11 is: 273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.83 : 409.71 = 182.11 : x
  2. Step 2: Convert to fraction form
    272.83/409.71 = 182.11/x
  3. Step 3: Cross multiply
    272.83x = 409.71 × 182.11
  4. Step 4: Simplify right side
    272.83x = 74,609.33
  5. Step 5: Solve for x
    x = 74,609.33/272.83
  6. Step 6: Final answer
    x = 273.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.