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Finding the Fourth Proportional to 236.47, 326.23 and 166.53

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Solution

The fourth proportional to 236.47, 326.23 and 166.53 is: 229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.47 : 326.23 = 166.53 : x
  2. Step 2: Convert to fraction form
    236.47/326.23 = 166.53/x
  3. Step 3: Cross multiply
    236.47x = 326.23 × 166.53
  4. Step 4: Simplify right side
    236.47x = 54,326.97
  5. Step 5: Solve for x
    x = 54,326.97/236.47
  6. Step 6: Final answer
    x = 229.74

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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.