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Finding the Fourth Proportional to 236.76, 326.74 and 142.28

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Solution

The fourth proportional to 236.76, 326.74 and 142.28 is: 196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.76 : 326.74 = 142.28 : x
  2. Step 2: Convert to fraction form
    236.76/326.74 = 142.28/x
  3. Step 3: Cross multiply
    236.76x = 326.74 × 142.28
  4. Step 4: Simplify right side
    236.76x = 46,489.03
  5. Step 5: Solve for x
    x = 46,489.03/236.76
  6. Step 6: Final answer
    x = 196.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.