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Finding the Fourth Proportional to 236.84, 326.78 and 163.02

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Solution

The fourth proportional to 236.84, 326.78 and 163.02 is: 224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.84 : 326.78 = 163.02 : x
  2. Step 2: Convert to fraction form
    236.84/326.78 = 163.02/x
  3. Step 3: Cross multiply
    236.84x = 326.78 × 163.02
  4. Step 4: Simplify right side
    236.84x = 53,271.68
  5. Step 5: Solve for x
    x = 53,271.68/236.84
  6. Step 6: Final answer
    x = 224.93

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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.