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Finding the Fourth Proportional to 236.32, 326.02 and 149.05

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Solution

The fourth proportional to 236.32, 326.02 and 149.05 is: 205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.32 : 326.02 = 149.05 : x
  2. Step 2: Convert to fraction form
    236.32/326.02 = 149.05/x
  3. Step 3: Cross multiply
    236.32x = 326.02 × 149.05
  4. Step 4: Simplify right side
    236.32x = 48,593.28
  5. Step 5: Solve for x
    x = 48,593.28/236.32
  6. Step 6: Final answer
    x = 205.62

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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.