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Finding the Fourth Proportional to 372.14, 513.56 and 204.09

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Solution

The fourth proportional to 372.14, 513.56 and 204.09 is: 281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.14 : 513.56 = 204.09 : x
  2. Step 2: Convert to fraction form
    372.14/513.56 = 204.09/x
  3. Step 3: Cross multiply
    372.14x = 513.56 × 204.09
  4. Step 4: Simplify right side
    372.14x = 104,814.00
  5. Step 5: Solve for x
    x = 104,814.00/372.14
  6. Step 6: Final answer
    x = 281.66

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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.