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Finding the Fourth Proportional to 236.72, 354.49 and 202.43

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Solution

The fourth proportional to 236.72, 354.49 and 202.43 is: 303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.72 : 354.49 = 202.43 : x
  2. Step 2: Convert to fraction form
    236.72/354.49 = 202.43/x
  3. Step 3: Cross multiply
    236.72x = 354.49 × 202.43
  4. Step 4: Simplify right side
    236.72x = 71,759.41
  5. Step 5: Solve for x
    x = 71,759.41/236.72
  6. Step 6: Final answer
    x = 303.14

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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.