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Finding the Fourth Proportional to 202.73, 304.24 and 81.02

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Solution

The fourth proportional to 202.73, 304.24 and 81.02 is: 121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.73 : 304.24 = 81.02 : x
  2. Step 2: Convert to fraction form
    202.73/304.24 = 81.02/x
  3. Step 3: Cross multiply
    202.73x = 304.24 × 81.02
  4. Step 4: Simplify right side
    202.73x = 24,650.39
  5. Step 5: Solve for x
    x = 24,650.39/202.73
  6. Step 6: Final answer
    x = 121.59

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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.