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Finding the Fourth Proportional to 293.08, 404.50 and 168.71

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Solution

The fourth proportional to 293.08, 404.50 and 168.71 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.08 : 404.50 = 168.71 : x
  2. Step 2: Convert to fraction form
    293.08/404.50 = 168.71/x
  3. Step 3: Cross multiply
    293.08x = 404.50 × 168.71
  4. Step 4: Simplify right side
    293.08x = 68,244.12
  5. Step 5: Solve for x
    x = 68,244.12/293.08
  6. Step 6: Final answer
    x = 232.85

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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.