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Finding the Fourth Proportional to 202.28, 303.12 and 161.24

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Solution

The fourth proportional to 202.28, 303.12 and 161.24 is: 241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.28 : 303.12 = 161.24 : x
  2. Step 2: Convert to fraction form
    202.28/303.12 = 161.24/x
  3. Step 3: Cross multiply
    202.28x = 303.12 × 161.24
  4. Step 4: Simplify right side
    202.28x = 48,875.07
  5. Step 5: Solve for x
    x = 48,875.07/202.28
  6. Step 6: Final answer
    x = 241.62

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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.