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Finding the Fourth Proportional to 283.71, 391.56 and 206.13

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Solution

The fourth proportional to 283.71, 391.56 and 206.13 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.71 : 391.56 = 206.13 : x
  2. Step 2: Convert to fraction form
    283.71/391.56 = 206.13/x
  3. Step 3: Cross multiply
    283.71x = 391.56 × 206.13
  4. Step 4: Simplify right side
    283.71x = 80,712.26
  5. Step 5: Solve for x
    x = 80,712.26/283.71
  6. Step 6: Final answer
    x = 284.49

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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.