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Finding the Fourth Proportional to 236.28, 326.00 and 138.04

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Solution

The fourth proportional to 236.28, 326.00 and 138.04 is: 190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.28 : 326.00 = 138.04 : x
  2. Step 2: Convert to fraction form
    236.28/326.00 = 138.04/x
  3. Step 3: Cross multiply
    236.28x = 326.00 × 138.04
  4. Step 4: Simplify right side
    236.28x = 45,000.57
  5. Step 5: Solve for x
    x = 45,000.57/236.28
  6. Step 6: Final answer
    x = 190.45

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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.