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Finding the Fourth Proportional to 197.31, 272.30 and 114.42

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Solution

The fourth proportional to 197.31, 272.30 and 114.42 is: 157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.31 : 272.30 = 114.42 : x
  2. Step 2: Convert to fraction form
    197.31/272.30 = 114.42/x
  3. Step 3: Cross multiply
    197.31x = 272.30 × 114.42
  4. Step 4: Simplify right side
    197.31x = 31,156.85
  5. Step 5: Solve for x
    x = 31,156.85/197.31
  6. Step 6: Final answer
    x = 157.91

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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.