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Finding the Fourth Proportional to 236.98, 327.18 and 149.78

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Solution

The fourth proportional to 236.98, 327.18 and 149.78 is: 206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.98 : 327.18 = 149.78 : x
  2. Step 2: Convert to fraction form
    236.98/327.18 = 149.78/x
  3. Step 3: Cross multiply
    236.98x = 327.18 × 149.78
  4. Step 4: Simplify right side
    236.98x = 49,005.02
  5. Step 5: Solve for x
    x = 49,005.02/236.98
  6. Step 6: Final answer
    x = 206.79

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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.