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Finding the Fourth Proportional to 202.05, 302.87 and 80.15

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Solution

The fourth proportional to 202.05, 302.87 and 80.15 is: 120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.05 : 302.87 = 80.15 : x
  2. Step 2: Convert to fraction form
    202.05/302.87 = 80.15/x
  3. Step 3: Cross multiply
    202.05x = 302.87 × 80.15
  4. Step 4: Simplify right side
    202.05x = 24,273.72
  5. Step 5: Solve for x
    x = 24,273.72/202.05
  6. Step 6: Final answer
    x = 120.14

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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.