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Finding the Fourth Proportional to 236.64, 326.42 and 162.96

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Solution

The fourth proportional to 236.64, 326.42 and 162.96 is: 224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.64 : 326.42 = 162.96 : x
  2. Step 2: Convert to fraction form
    236.64/326.42 = 162.96/x
  3. Step 3: Cross multiply
    236.64x = 326.42 × 162.96
  4. Step 4: Simplify right side
    236.64x = 53,193.40
  5. Step 5: Solve for x
    x = 53,193.40/236.64
  6. Step 6: Final answer
    x = 224.79

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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.