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Finding the Fourth Proportional to 283.97, 425.76 and 137.63

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Solution

The fourth proportional to 283.97, 425.76 and 137.63 is: 206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.97 : 425.76 = 137.63 : x
  2. Step 2: Convert to fraction form
    283.97/425.76 = 137.63/x
  3. Step 3: Cross multiply
    283.97x = 425.76 × 137.63
  4. Step 4: Simplify right side
    283.97x = 58,595.22
  5. Step 5: Solve for x
    x = 58,595.22/283.97
  6. Step 6: Final answer
    x = 206.35

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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.