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Finding the Fourth Proportional to 236.78, 326.46 and 153.88

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Solution

The fourth proportional to 236.78, 326.46 and 153.88 is: 212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.78 : 326.46 = 153.88 : x
  2. Step 2: Convert to fraction form
    236.78/326.46 = 153.88/x
  3. Step 3: Cross multiply
    236.78x = 326.46 × 153.88
  4. Step 4: Simplify right side
    236.78x = 50,235.66
  5. Step 5: Solve for x
    x = 50,235.66/236.78
  6. Step 6: Final answer
    x = 212.16

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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.