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Finding the Fourth Proportional to 236.34, 326.31 and 149.16

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Solution

The fourth proportional to 236.34, 326.31 and 149.16 is: 205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.34 : 326.31 = 149.16 : x
  2. Step 2: Convert to fraction form
    236.34/326.31 = 149.16/x
  3. Step 3: Cross multiply
    236.34x = 326.31 × 149.16
  4. Step 4: Simplify right side
    236.34x = 48,672.40
  5. Step 5: Solve for x
    x = 48,672.40/236.34
  6. Step 6: Final answer
    x = 205.94

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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.