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Finding the Fourth Proportional to 236.62, 326.55 and 166.78

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Solution

The fourth proportional to 236.62, 326.55 and 166.78 is: 230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.62 : 326.55 = 166.78 : x
  2. Step 2: Convert to fraction form
    236.62/326.55 = 166.78/x
  3. Step 3: Cross multiply
    236.62x = 326.55 × 166.78
  4. Step 4: Simplify right side
    236.62x = 54,462.01
  5. Step 5: Solve for x
    x = 54,462.01/236.62
  6. Step 6: Final answer
    x = 230.17

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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.