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Finding the Fourth Proportional to 236.75, 326.81 and 159.17

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Solution

The fourth proportional to 236.75, 326.81 and 159.17 is: 219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.75 : 326.81 = 159.17 : x
  2. Step 2: Convert to fraction form
    236.75/326.81 = 159.17/x
  3. Step 3: Cross multiply
    236.75x = 326.81 × 159.17
  4. Step 4: Simplify right side
    236.75x = 52,017.55
  5. Step 5: Solve for x
    x = 52,017.55/236.75
  6. Step 6: Final answer
    x = 219.72

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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.