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Finding the Fourth Proportional to 202.35, 303.61 and 137.43

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Solution

The fourth proportional to 202.35, 303.61 and 137.43 is: 206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.35 : 303.61 = 137.43 : x
  2. Step 2: Convert to fraction form
    202.35/303.61 = 137.43/x
  3. Step 3: Cross multiply
    202.35x = 303.61 × 137.43
  4. Step 4: Simplify right side
    202.35x = 41,723.60
  5. Step 5: Solve for x
    x = 41,723.60/202.35
  6. Step 6: Final answer
    x = 206.20

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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.