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Finding the Fourth Proportional to 200.92, 301.20 and 170.68

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Solution

The fourth proportional to 200.92, 301.20 and 170.68 is: 255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.92 : 301.20 = 170.68 : x
  2. Step 2: Convert to fraction form
    200.92/301.20 = 170.68/x
  3. Step 3: Cross multiply
    200.92x = 301.20 × 170.68
  4. Step 4: Simplify right side
    200.92x = 51,408.82
  5. Step 5: Solve for x
    x = 51,408.82/200.92
  6. Step 6: Final answer
    x = 255.87

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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.