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Finding the Fourth Proportional to 197.67, 272.89 and 127.77

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Solution

The fourth proportional to 197.67, 272.89 and 127.77 is: 176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.67 : 272.89 = 127.77 : x
  2. Step 2: Convert to fraction form
    197.67/272.89 = 127.77/x
  3. Step 3: Cross multiply
    197.67x = 272.89 × 127.77
  4. Step 4: Simplify right side
    197.67x = 34,866.41
  5. Step 5: Solve for x
    x = 34,866.41/197.67
  6. Step 6: Final answer
    x = 176.39

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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.