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Finding the Fourth Proportional to 202.87, 304.36 and 81.22

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Solution

The fourth proportional to 202.87, 304.36 and 81.22 is: 121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.87 : 304.36 = 81.22 : x
  2. Step 2: Convert to fraction form
    202.87/304.36 = 81.22/x
  3. Step 3: Cross multiply
    202.87x = 304.36 × 81.22
  4. Step 4: Simplify right side
    202.87x = 24,718.44
  5. Step 5: Solve for x
    x = 24,718.44/202.87
  6. Step 6: Final answer
    x = 121.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.