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Finding the Fourth Proportional to 371.60, 512.82 and 205.83

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Solution

The fourth proportional to 371.60, 512.82 and 205.83 is: 284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.60 : 512.82 = 205.83 : x
  2. Step 2: Convert to fraction form
    371.60/512.82 = 205.83/x
  3. Step 3: Cross multiply
    371.60x = 512.82 × 205.83
  4. Step 4: Simplify right side
    371.60x = 105,552.73
  5. Step 5: Solve for x
    x = 105,552.73/371.60
  6. Step 6: Final answer
    x = 284.05

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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.