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Finding the Fourth Proportional to 197.23, 272.24 and 114.42

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Solution

The fourth proportional to 197.23, 272.24 and 114.42 is: 157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.23 : 272.24 = 114.42 : x
  2. Step 2: Convert to fraction form
    197.23/272.24 = 114.42/x
  3. Step 3: Cross multiply
    197.23x = 272.24 × 114.42
  4. Step 4: Simplify right side
    197.23x = 31,150.46
  5. Step 5: Solve for x
    x = 31,150.46/197.23
  6. Step 6: Final answer
    x = 157.94

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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.