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Finding the Fourth Proportional to 243.15, 364.69 and 166.61

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Solution

The fourth proportional to 243.15, 364.69 and 166.61 is: 249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.15 : 364.69 = 166.61 : x
  2. Step 2: Convert to fraction form
    243.15/364.69 = 166.61/x
  3. Step 3: Cross multiply
    243.15x = 364.69 × 166.61
  4. Step 4: Simplify right side
    243.15x = 60,759.13
  5. Step 5: Solve for x
    x = 60,759.13/243.15
  6. Step 6: Final answer
    x = 249.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.