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Finding the Fourth Proportional to 293.44, 404.67 and 182.92

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Solution

The fourth proportional to 293.44, 404.67 and 182.92 is: 252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.44 : 404.67 = 182.92 : x
  2. Step 2: Convert to fraction form
    293.44/404.67 = 182.92/x
  3. Step 3: Cross multiply
    293.44x = 404.67 × 182.92
  4. Step 4: Simplify right side
    293.44x = 74,022.24
  5. Step 5: Solve for x
    x = 74,022.24/293.44
  6. Step 6: Final answer
    x = 252.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.