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Finding the Fourth Proportional to 367.29, 506.97 and 212.04

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Solution

The fourth proportional to 367.29, 506.97 and 212.04 is: 292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.29 : 506.97 = 212.04 : x
  2. Step 2: Convert to fraction form
    367.29/506.97 = 212.04/x
  3. Step 3: Cross multiply
    367.29x = 506.97 × 212.04
  4. Step 4: Simplify right side
    367.29x = 107,497.92
  5. Step 5: Solve for x
    x = 107,497.92/367.29
  6. Step 6: Final answer
    x = 292.68

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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.