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Finding the Fourth Proportional to 197.40, 272.34 and 114.50

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Solution

The fourth proportional to 197.40, 272.34 and 114.50 is: 157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.40 : 272.34 = 114.50 : x
  2. Step 2: Convert to fraction form
    197.40/272.34 = 114.50/x
  3. Step 3: Cross multiply
    197.40x = 272.34 × 114.50
  4. Step 4: Simplify right side
    197.40x = 31,182.93
  5. Step 5: Solve for x
    x = 31,182.93/197.40
  6. Step 6: Final answer
    x = 157.97

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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.