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Finding the Fourth Proportional to 236.84, 327.04 and 159.26

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Solution

The fourth proportional to 236.84, 327.04 and 159.26 is: 219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.84 : 327.04 = 159.26 : x
  2. Step 2: Convert to fraction form
    236.84/327.04 = 159.26/x
  3. Step 3: Cross multiply
    236.84x = 327.04 × 159.26
  4. Step 4: Simplify right side
    236.84x = 52,084.39
  5. Step 5: Solve for x
    x = 52,084.39/236.84
  6. Step 6: Final answer
    x = 219.91

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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.