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Finding the Fourth Proportional to 202.24, 303.14 and 80.44

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Solution

The fourth proportional to 202.24, 303.14 and 80.44 is: 120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.24 : 303.14 = 80.44 : x
  2. Step 2: Convert to fraction form
    202.24/303.14 = 80.44/x
  3. Step 3: Cross multiply
    202.24x = 303.14 × 80.44
  4. Step 4: Simplify right side
    202.24x = 24,384.58
  5. Step 5: Solve for x
    x = 24,384.58/202.24
  6. Step 6: Final answer
    x = 120.57

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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.