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Finding the Fourth Proportional to 236.56, 326.22 and 149.20

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Solution

The fourth proportional to 236.56, 326.22 and 149.20 is: 205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.56 : 326.22 = 149.20 : x
  2. Step 2: Convert to fraction form
    236.56/326.22 = 149.20/x
  3. Step 3: Cross multiply
    236.56x = 326.22 × 149.20
  4. Step 4: Simplify right side
    236.56x = 48,672.02
  5. Step 5: Solve for x
    x = 48,672.02/236.56
  6. Step 6: Final answer
    x = 205.75

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Why These Related Problems?

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