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Finding the Fourth Proportional to 236.54, 326.09 and 149.06

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Solution

The fourth proportional to 236.54, 326.09 and 149.06 is: 205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.54 : 326.09 = 149.06 : x
  2. Step 2: Convert to fraction form
    236.54/326.09 = 149.06/x
  3. Step 3: Cross multiply
    236.54x = 326.09 × 149.06
  4. Step 4: Simplify right side
    236.54x = 48,608.16
  5. Step 5: Solve for x
    x = 48,608.16/236.54
  6. Step 6: Final answer
    x = 205.49

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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.