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Finding the Fourth Proportional to 262.83, 394.20 and 182.19

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Solution

The fourth proportional to 262.83, 394.20 and 182.19 is: 273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.83 : 394.20 = 182.19 : x
  2. Step 2: Convert to fraction form
    262.83/394.20 = 182.19/x
  3. Step 3: Cross multiply
    262.83x = 394.20 × 182.19
  4. Step 4: Simplify right side
    262.83x = 71,819.30
  5. Step 5: Solve for x
    x = 71,819.30/262.83
  6. Step 6: Final answer
    x = 273.25

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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.