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Finding the Fourth Proportional to 273.86, 410.10 and 182.28

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Solution

The fourth proportional to 273.86, 410.10 and 182.28 is: 272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.86 : 410.10 = 182.28 : x
  2. Step 2: Convert to fraction form
    273.86/410.10 = 182.28/x
  3. Step 3: Cross multiply
    273.86x = 410.10 × 182.28
  4. Step 4: Simplify right side
    273.86x = 74,753.03
  5. Step 5: Solve for x
    x = 74,753.03/273.86
  6. Step 6: Final answer
    x = 272.96

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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.