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Finding the Fourth Proportional to 371.35, 512.49 and 205.60

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Solution

The fourth proportional to 371.35, 512.49 and 205.60 is: 283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.35 : 512.49 = 205.60 : x
  2. Step 2: Convert to fraction form
    371.35/512.49 = 205.60/x
  3. Step 3: Cross multiply
    371.35x = 512.49 × 205.60
  4. Step 4: Simplify right side
    371.35x = 105,367.94
  5. Step 5: Solve for x
    x = 105,367.94/371.35
  6. Step 6: Final answer
    x = 283.74

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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.