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Finding the Fourth Proportional to 202.99, 304.25 and 81.11

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Solution

The fourth proportional to 202.99, 304.25 and 81.11 is: 121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.99 : 304.25 = 81.11 : x
  2. Step 2: Convert to fraction form
    202.99/304.25 = 81.11/x
  3. Step 3: Cross multiply
    202.99x = 304.25 × 81.11
  4. Step 4: Simplify right side
    202.99x = 24,676.20
  5. Step 5: Solve for x
    x = 24,676.20/202.99
  6. Step 6: Final answer
    x = 121.57

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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.