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Finding the Fourth Proportional to 292.88, 404.19 and 161.88

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Solution

The fourth proportional to 292.88, 404.19 and 161.88 is: 223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.88 : 404.19 = 161.88 : x
  2. Step 2: Convert to fraction form
    292.88/404.19 = 161.88/x
  3. Step 3: Cross multiply
    292.88x = 404.19 × 161.88
  4. Step 4: Simplify right side
    292.88x = 65,429.47
  5. Step 5: Solve for x
    x = 65,429.47/292.88
  6. Step 6: Final answer
    x = 223.40

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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.