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Finding the Fourth Proportional to 197.14, 272.18 and 127.23

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Solution

The fourth proportional to 197.14, 272.18 and 127.23 is: 175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.14 : 272.18 = 127.23 : x
  2. Step 2: Convert to fraction form
    197.14/272.18 = 127.23/x
  3. Step 3: Cross multiply
    197.14x = 272.18 × 127.23
  4. Step 4: Simplify right side
    197.14x = 34,629.46
  5. Step 5: Solve for x
    x = 34,629.46/197.14
  6. Step 6: Final answer
    x = 175.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.