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Finding the Fourth Proportional to 236.68, 326.55 and 142.12

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Solution

The fourth proportional to 236.68, 326.55 and 142.12 is: 196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.68 : 326.55 = 142.12 : x
  2. Step 2: Convert to fraction form
    236.68/326.55 = 142.12/x
  3. Step 3: Cross multiply
    236.68x = 326.55 × 142.12
  4. Step 4: Simplify right side
    236.68x = 46,409.29
  5. Step 5: Solve for x
    x = 46,409.29/236.68
  6. Step 6: Final answer
    x = 196.08

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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.