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Finding the Fourth Proportional to 236.55, 326.30 and 166.49

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Solution

The fourth proportional to 236.55, 326.30 and 166.49 is: 229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.55 : 326.30 = 166.49 : x
  2. Step 2: Convert to fraction form
    236.55/326.30 = 166.49/x
  3. Step 3: Cross multiply
    236.55x = 326.30 × 166.49
  4. Step 4: Simplify right side
    236.55x = 54,323.22
  5. Step 5: Solve for x
    x = 54,323.22/236.55
  6. Step 6: Final answer
    x = 229.65

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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.