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Finding the Fourth Proportional to 202.40, 303.60 and 72.41

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Solution

The fourth proportional to 202.40, 303.60 and 72.41 is: 108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.40 : 303.60 = 72.41 : x
  2. Step 2: Convert to fraction form
    202.40/303.60 = 72.41/x
  3. Step 3: Cross multiply
    202.40x = 303.60 × 72.41
  4. Step 4: Simplify right side
    202.40x = 21,983.68
  5. Step 5: Solve for x
    x = 21,983.68/202.40
  6. Step 6: Final answer
    x = 108.62

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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.