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Finding the Fourth Proportional to 371.49, 512.65 and 205.71

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Solution

The fourth proportional to 371.49, 512.65 and 205.71 is: 283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.49 : 512.65 = 205.71 : x
  2. Step 2: Convert to fraction form
    371.49/512.65 = 205.71/x
  3. Step 3: Cross multiply
    371.49x = 512.65 × 205.71
  4. Step 4: Simplify right side
    371.49x = 105,455.57
  5. Step 5: Solve for x
    x = 105,455.57/371.49
  6. Step 6: Final answer
    x = 283.87

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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.