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Finding the Fourth Proportional to 371.48, 512.61 and 205.68

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Solution

The fourth proportional to 371.48, 512.61 and 205.68 is: 283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.48 : 512.61 = 205.68 : x
  2. Step 2: Convert to fraction form
    371.48/512.61 = 205.68/x
  3. Step 3: Cross multiply
    371.48x = 512.61 × 205.68
  4. Step 4: Simplify right side
    371.48x = 105,433.62
  5. Step 5: Solve for x
    x = 105,433.62/371.48
  6. Step 6: Final answer
    x = 283.82

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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.