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Finding the Fourth Proportional to 236.31, 326.12 and 149.10

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Solution

The fourth proportional to 236.31, 326.12 and 149.10 is: 205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.31 : 326.12 = 149.10 : x
  2. Step 2: Convert to fraction form
    236.31/326.12 = 149.10/x
  3. Step 3: Cross multiply
    236.31x = 326.12 × 149.10
  4. Step 4: Simplify right side
    236.31x = 48,624.49
  5. Step 5: Solve for x
    x = 48,624.49/236.31
  6. Step 6: Final answer
    x = 205.77

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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.