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Finding the Fourth Proportional to 371.69, 512.94 and 205.90

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Solution

The fourth proportional to 371.69, 512.94 and 205.90 is: 284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.69 : 512.94 = 205.90 : x
  2. Step 2: Convert to fraction form
    371.69/512.94 = 205.90/x
  3. Step 3: Cross multiply
    371.69x = 512.94 × 205.90
  4. Step 4: Simplify right side
    371.69x = 105,614.35
  5. Step 5: Solve for x
    x = 105,614.35/371.69
  6. Step 6: Final answer
    x = 284.15

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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.