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Finding the Fourth Proportional to 203.92, 306.60 and 165.76

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Solution

The fourth proportional to 203.92, 306.60 and 165.76 is: 249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.92 : 306.60 = 165.76 : x
  2. Step 2: Convert to fraction form
    203.92/306.60 = 165.76/x
  3. Step 3: Cross multiply
    203.92x = 306.60 × 165.76
  4. Step 4: Simplify right side
    203.92x = 50,822.02
  5. Step 5: Solve for x
    x = 50,822.02/203.92
  6. Step 6: Final answer
    x = 249.23

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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.