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Finding the Fourth Proportional to 202.83, 304.31 and 81.09

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Solution

The fourth proportional to 202.83, 304.31 and 81.09 is: 121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.83 : 304.31 = 81.09 : x
  2. Step 2: Convert to fraction form
    202.83/304.31 = 81.09/x
  3. Step 3: Cross multiply
    202.83x = 304.31 × 81.09
  4. Step 4: Simplify right side
    202.83x = 24,676.50
  5. Step 5: Solve for x
    x = 24,676.50/202.83
  6. Step 6: Final answer
    x = 121.66

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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.