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Finding the Fourth Proportional to 197.60, 272.83 and 127.70

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Solution

The fourth proportional to 197.60, 272.83 and 127.70 is: 176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.60 : 272.83 = 127.70 : x
  2. Step 2: Convert to fraction form
    197.60/272.83 = 127.70/x
  3. Step 3: Cross multiply
    197.60x = 272.83 × 127.70
  4. Step 4: Simplify right side
    197.60x = 34,840.03
  5. Step 5: Solve for x
    x = 34,840.03/197.60
  6. Step 6: Final answer
    x = 176.32

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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.