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Finding the Fourth Proportional to 202.73, 303.79 and 130.44

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Solution

The fourth proportional to 202.73, 303.79 and 130.44 is: 195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.73 : 303.79 = 130.44 : x
  2. Step 2: Convert to fraction form
    202.73/303.79 = 130.44/x
  3. Step 3: Cross multiply
    202.73x = 303.79 × 130.44
  4. Step 4: Simplify right side
    202.73x = 39,626.37
  5. Step 5: Solve for x
    x = 39,626.37/202.73
  6. Step 6: Final answer
    x = 195.46

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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.