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Finding the Fourth Proportional to 197.94, 272.52 and 166.77

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Solution

The fourth proportional to 197.94, 272.52 and 166.77 is: 229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.94 : 272.52 = 166.77 : x
  2. Step 2: Convert to fraction form
    197.94/272.52 = 166.77/x
  3. Step 3: Cross multiply
    197.94x = 272.52 × 166.77
  4. Step 4: Simplify right side
    197.94x = 45,448.16
  5. Step 5: Solve for x
    x = 45,448.16/197.94
  6. Step 6: Final answer
    x = 229.61

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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.