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Finding the Fourth Proportional to 236.87, 327.14 and 184.26

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Solution

The fourth proportional to 236.87, 327.14 and 184.26 is: 254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.87 : 327.14 = 184.26 : x
  2. Step 2: Convert to fraction form
    236.87/327.14 = 184.26/x
  3. Step 3: Cross multiply
    236.87x = 327.14 × 184.26
  4. Step 4: Simplify right side
    236.87x = 60,277.97
  5. Step 5: Solve for x
    x = 60,277.97/236.87
  6. Step 6: Final answer
    x = 254.47

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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.