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Finding the Fourth Proportional to 372.47, 513.97 and 206.69

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Solution

The fourth proportional to 372.47, 513.97 and 206.69 is: 285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.47 : 513.97 = 206.69 : x
  2. Step 2: Convert to fraction form
    372.47/513.97 = 206.69/x
  3. Step 3: Cross multiply
    372.47x = 513.97 × 206.69
  4. Step 4: Simplify right side
    372.47x = 106,229.37
  5. Step 5: Solve for x
    x = 106,229.37/372.47
  6. Step 6: Final answer
    x = 285.21

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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.