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Finding the Fourth Proportional to 202.38, 303.67 and 94.25

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Solution

The fourth proportional to 202.38, 303.67 and 94.25 is: 141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.38 : 303.67 = 94.25 : x
  2. Step 2: Convert to fraction form
    202.38/303.67 = 94.25/x
  3. Step 3: Cross multiply
    202.38x = 303.67 × 94.25
  4. Step 4: Simplify right side
    202.38x = 28,620.90
  5. Step 5: Solve for x
    x = 28,620.90/202.38
  6. Step 6: Final answer
    x = 141.42

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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.