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Finding the Fourth Proportional to 236.33, 326.11 and 178.01

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Solution

The fourth proportional to 236.33, 326.11 and 178.01 is: 245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.33 : 326.11 = 178.01 : x
  2. Step 2: Convert to fraction form
    236.33/326.11 = 178.01/x
  3. Step 3: Cross multiply
    236.33x = 326.11 × 178.01
  4. Step 4: Simplify right side
    236.33x = 58,050.84
  5. Step 5: Solve for x
    x = 58,050.84/236.33
  6. Step 6: Final answer
    x = 245.63

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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.