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Finding the Fourth Proportional to 236.20, 326.02 and 142.96

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Solution

The fourth proportional to 236.20, 326.02 and 142.96 is: 197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.20 : 326.02 = 142.96 : x
  2. Step 2: Convert to fraction form
    236.20/326.02 = 142.96/x
  3. Step 3: Cross multiply
    236.20x = 326.02 × 142.96
  4. Step 4: Simplify right side
    236.20x = 46,607.82
  5. Step 5: Solve for x
    x = 46,607.82/236.20
  6. Step 6: Final answer
    x = 197.32

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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.