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Finding the Fourth Proportional to 292.96, 404.23 and 168.61

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Solution

The fourth proportional to 292.96, 404.23 and 168.61 is: 232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.96 : 404.23 = 168.61 : x
  2. Step 2: Convert to fraction form
    292.96/404.23 = 168.61/x
  3. Step 3: Cross multiply
    292.96x = 404.23 × 168.61
  4. Step 4: Simplify right side
    292.96x = 68,157.22
  5. Step 5: Solve for x
    x = 68,157.22/292.96
  6. Step 6: Final answer
    x = 232.65

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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.