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Finding the Fourth Proportional to 236.76, 326.50 and 178.44

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Solution

The fourth proportional to 236.76, 326.50 and 178.44 is: 246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.76 : 326.50 = 178.44 : x
  2. Step 2: Convert to fraction form
    236.76/326.50 = 178.44/x
  3. Step 3: Cross multiply
    236.76x = 326.50 × 178.44
  4. Step 4: Simplify right side
    236.76x = 58,260.66
  5. Step 5: Solve for x
    x = 58,260.66/236.76
  6. Step 6: Final answer
    x = 246.07

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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.