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Finding the Fourth Proportional to 292.83, 404.09 and 161.83

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Solution

The fourth proportional to 292.83, 404.09 and 161.83 is: 223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.83 : 404.09 = 161.83 : x
  2. Step 2: Convert to fraction form
    292.83/404.09 = 161.83/x
  3. Step 3: Cross multiply
    292.83x = 404.09 × 161.83
  4. Step 4: Simplify right side
    292.83x = 65,393.88
  5. Step 5: Solve for x
    x = 65,393.88/292.83
  6. Step 6: Final answer
    x = 223.32

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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.