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Finding the Fourth Proportional to 202.82, 304.30 and 81.12

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Solution

The fourth proportional to 202.82, 304.30 and 81.12 is: 121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 304.30 = 81.12 : x
  2. Step 2: Convert to fraction form
    202.82/304.30 = 81.12/x
  3. Step 3: Cross multiply
    202.82x = 304.30 × 81.12
  4. Step 4: Simplify right side
    202.82x = 24,684.82
  5. Step 5: Solve for x
    x = 24,684.82/202.82
  6. Step 6: Final answer
    x = 121.71

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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.