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Finding the Fourth Proportional to 292.83, 404.14 and 168.53

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Solution

The fourth proportional to 292.83, 404.14 and 168.53 is: 232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.83 : 404.14 = 168.53 : x
  2. Step 2: Convert to fraction form
    292.83/404.14 = 168.53/x
  3. Step 3: Cross multiply
    292.83x = 404.14 × 168.53
  4. Step 4: Simplify right side
    292.83x = 68,110.30
  5. Step 5: Solve for x
    x = 68,110.30/292.83
  6. Step 6: Final answer
    x = 232.59

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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.