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Finding the Fourth Proportional to 197.64, 272.87 and 127.73

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Solution

The fourth proportional to 197.64, 272.87 and 127.73 is: 176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.64 : 272.87 = 127.73 : x
  2. Step 2: Convert to fraction form
    197.64/272.87 = 127.73/x
  3. Step 3: Cross multiply
    197.64x = 272.87 × 127.73
  4. Step 4: Simplify right side
    197.64x = 34,853.69
  5. Step 5: Solve for x
    x = 34,853.69/197.64
  6. Step 6: Final answer
    x = 176.35

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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.