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Finding the Fourth Proportional to 227.96, 342 and 182.12

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Solution

The fourth proportional to 227.96, 342 and 182.12 is: 273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.96 : 342 = 182.12 : x
  2. Step 2: Convert to fraction form
    227.96/342 = 182.12/x
  3. Step 3: Cross multiply
    227.96x = 342 × 182.12
  4. Step 4: Simplify right side
    227.96x = 62,285.04
  5. Step 5: Solve for x
    x = 62,285.04/227.96
  6. Step 6: Final answer
    x = 273.23

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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.