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Finding the Fourth Proportional to 236.77, 327.05 and 162.96

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Solution

The fourth proportional to 236.77, 327.05 and 162.96 is: 225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.77 : 327.05 = 162.96 : x
  2. Step 2: Convert to fraction form
    236.77/327.05 = 162.96/x
  3. Step 3: Cross multiply
    236.77x = 327.05 × 162.96
  4. Step 4: Simplify right side
    236.77x = 53,293.62
  5. Step 5: Solve for x
    x = 53,293.62/236.77
  6. Step 6: Final answer
    x = 225.09

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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.