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Finding the Fourth Proportional to 236.53, 326.46 and 149.41

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Solution

The fourth proportional to 236.53, 326.46 and 149.41 is: 206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.53 : 326.46 = 149.41 : x
  2. Step 2: Convert to fraction form
    236.53/326.46 = 149.41/x
  3. Step 3: Cross multiply
    236.53x = 326.46 × 149.41
  4. Step 4: Simplify right side
    236.53x = 48,776.39
  5. Step 5: Solve for x
    x = 48,776.39/236.53
  6. Step 6: Final answer
    x = 206.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.