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Finding the Fourth Proportional to 371.48, 512.64 and 205.70

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Solution

The fourth proportional to 371.48, 512.64 and 205.70 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.48 : 512.64 = 205.70 : x
  2. Step 2: Convert to fraction form
    371.48/512.64 = 205.70/x
  3. Step 3: Cross multiply
    371.48x = 512.64 × 205.70
  4. Step 4: Simplify right side
    371.48x = 105,447.48
  5. Step 5: Solve for x
    x = 105,447.48/371.48
  6. Step 6: Final answer
    x = 283.86

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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.