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Finding the Fourth Proportional to 372.26, 513.74 and 204.20

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Solution

The fourth proportional to 372.26, 513.74 and 204.20 is: 281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.26 : 513.74 = 204.20 : x
  2. Step 2: Convert to fraction form
    372.26/513.74 = 204.20/x
  3. Step 3: Cross multiply
    372.26x = 513.74 × 204.20
  4. Step 4: Simplify right side
    372.26x = 104,906.63
  5. Step 5: Solve for x
    x = 104,906.63/372.26
  6. Step 6: Final answer
    x = 281.81

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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.