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Finding the Fourth Proportional to 293.02, 404.22 and 168.68

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Solution

The fourth proportional to 293.02, 404.22 and 168.68 is: 232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.02 : 404.22 = 168.68 : x
  2. Step 2: Convert to fraction form
    293.02/404.22 = 168.68/x
  3. Step 3: Cross multiply
    293.02x = 404.22 × 168.68
  4. Step 4: Simplify right side
    293.02x = 68,183.83
  5. Step 5: Solve for x
    x = 68,183.83/293.02
  6. Step 6: Final answer
    x = 232.70

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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.