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Finding the Fourth Proportional to 236.40, 326.25 and 149.07

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Solution

The fourth proportional to 236.40, 326.25 and 149.07 is: 205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.40 : 326.25 = 149.07 : x
  2. Step 2: Convert to fraction form
    236.40/326.25 = 149.07/x
  3. Step 3: Cross multiply
    236.40x = 326.25 × 149.07
  4. Step 4: Simplify right side
    236.40x = 48,634.09
  5. Step 5: Solve for x
    x = 48,634.09/236.40
  6. Step 6: Final answer
    x = 205.73

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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.