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Finding the Fourth Proportional to 371.66, 512.89 and 205.90

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Solution

The fourth proportional to 371.66, 512.89 and 205.90 is: 284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.66 : 512.89 = 205.90 : x
  2. Step 2: Convert to fraction form
    371.66/512.89 = 205.90/x
  3. Step 3: Cross multiply
    371.66x = 512.89 × 205.90
  4. Step 4: Simplify right side
    371.66x = 105,604.05
  5. Step 5: Solve for x
    x = 105,604.05/371.66
  6. Step 6: Final answer
    x = 284.14

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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.