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Finding the Fourth Proportional to 236.92, 327.10 and 178.96

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Solution

The fourth proportional to 236.92, 327.10 and 178.96 is: 247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.92 : 327.10 = 178.96 : x
  2. Step 2: Convert to fraction form
    236.92/327.10 = 178.96/x
  3. Step 3: Cross multiply
    236.92x = 327.10 × 178.96
  4. Step 4: Simplify right side
    236.92x = 58,537.82
  5. Step 5: Solve for x
    x = 58,537.82/236.92
  6. Step 6: Final answer
    x = 247.08

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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.