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Finding the Fourth Proportional to 197.23, 272.14 and 114.34

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Solution

The fourth proportional to 197.23, 272.14 and 114.34 is: 157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.23 : 272.14 = 114.34 : x
  2. Step 2: Convert to fraction form
    197.23/272.14 = 114.34/x
  3. Step 3: Cross multiply
    197.23x = 272.14 × 114.34
  4. Step 4: Simplify right side
    197.23x = 31,114.56
  5. Step 5: Solve for x
    x = 31,114.56/197.23
  6. Step 6: Final answer
    x = 157.76

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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.