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Finding the Fourth Proportional to 197.59, 272.73 and 114.73

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Solution

The fourth proportional to 197.59, 272.73 and 114.73 is: 158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.59 : 272.73 = 114.73 : x
  2. Step 2: Convert to fraction form
    197.59/272.73 = 114.73/x
  3. Step 3: Cross multiply
    197.59x = 272.73 × 114.73
  4. Step 4: Simplify right side
    197.59x = 31,290.65
  5. Step 5: Solve for x
    x = 31,290.65/197.59
  6. Step 6: Final answer
    x = 158.36

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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.