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Finding the Fourth Proportional to 236.38, 326.30 and 149.10

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Solution

The fourth proportional to 236.38, 326.30 and 149.10 is: 205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.38 : 326.30 = 149.10 : x
  2. Step 2: Convert to fraction form
    236.38/326.30 = 149.10/x
  3. Step 3: Cross multiply
    236.38x = 326.30 × 149.10
  4. Step 4: Simplify right side
    236.38x = 48,651.33
  5. Step 5: Solve for x
    x = 48,651.33/236.38
  6. Step 6: Final answer
    x = 205.82

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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.