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Finding the Fourth Proportional to 236.30, 326.08 and 138.05

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Solution

The fourth proportional to 236.30, 326.08 and 138.05 is: 190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.30 : 326.08 = 138.05 : x
  2. Step 2: Convert to fraction form
    236.30/326.08 = 138.05/x
  3. Step 3: Cross multiply
    236.30x = 326.08 × 138.05
  4. Step 4: Simplify right side
    236.30x = 45,013.02
  5. Step 5: Solve for x
    x = 45,013.02/236.30
  6. Step 6: Final answer
    x = 190.49

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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.