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Finding the Fourth Proportional to 236.32, 326.12 and 138.14

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Solution

The fourth proportional to 236.32, 326.12 and 138.14 is: 190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.32 : 326.12 = 138.14 : x
  2. Step 2: Convert to fraction form
    236.32/326.12 = 138.14/x
  3. Step 3: Cross multiply
    236.32x = 326.12 × 138.14
  4. Step 4: Simplify right side
    236.32x = 45,050.22
  5. Step 5: Solve for x
    x = 45,050.22/236.32
  6. Step 6: Final answer
    x = 190.63

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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.