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Finding the Fourth Proportional to 293.44, 404.57 and 182.72

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Solution

The fourth proportional to 293.44, 404.57 and 182.72 is: 251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.44 : 404.57 = 182.72 : x
  2. Step 2: Convert to fraction form
    293.44/404.57 = 182.72/x
  3. Step 3: Cross multiply
    293.44x = 404.57 × 182.72
  4. Step 4: Simplify right side
    293.44x = 73,920.09
  5. Step 5: Solve for x
    x = 73,920.09/293.44
  6. Step 6: Final answer
    x = 251.91

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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.