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Finding the Fourth Proportional to 293.29, 404.60 and 182.72

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Solution

The fourth proportional to 293.29, 404.60 and 182.72 is: 252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.29 : 404.60 = 182.72 : x
  2. Step 2: Convert to fraction form
    293.29/404.60 = 182.72/x
  3. Step 3: Cross multiply
    293.29x = 404.60 × 182.72
  4. Step 4: Simplify right side
    293.29x = 73,928.61
  5. Step 5: Solve for x
    x = 73,928.61/293.29
  6. Step 6: Final answer
    x = 252.07

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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.