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Finding the Fourth Proportional to 283.57, 425.31 and 137.41

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Solution

The fourth proportional to 283.57, 425.31 and 137.41 is: 206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.57 : 425.31 = 137.41 : x
  2. Step 2: Convert to fraction form
    283.57/425.31 = 137.41/x
  3. Step 3: Cross multiply
    283.57x = 425.31 × 137.41
  4. Step 4: Simplify right side
    283.57x = 58,441.85
  5. Step 5: Solve for x
    x = 58,441.85/283.57
  6. Step 6: Final answer
    x = 206.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.