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Finding the Fourth Proportional to 293.10, 404.49 and 168.83

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Solution

The fourth proportional to 293.10, 404.49 and 168.83 is: 232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.10 : 404.49 = 168.83 : x
  2. Step 2: Convert to fraction form
    293.10/404.49 = 168.83/x
  3. Step 3: Cross multiply
    293.10x = 404.49 × 168.83
  4. Step 4: Simplify right side
    293.10x = 68,290.05
  5. Step 5: Solve for x
    x = 68,290.05/293.10
  6. Step 6: Final answer
    x = 232.99

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Why These Related Problems?

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