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Finding the Fourth Proportional to 202.62, 304.39 and 134.27

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Solution

The fourth proportional to 202.62, 304.39 and 134.27 is: 201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.62 : 304.39 = 134.27 : x
  2. Step 2: Convert to fraction form
    202.62/304.39 = 134.27/x
  3. Step 3: Cross multiply
    202.62x = 304.39 × 134.27
  4. Step 4: Simplify right side
    202.62x = 40,871.94
  5. Step 5: Solve for x
    x = 40,871.94/202.62
  6. Step 6: Final answer
    x = 201.72

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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.