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Finding the Fourth Proportional to 197.96, 272.75 and 156.65

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Solution

The fourth proportional to 197.96, 272.75 and 156.65 is: 215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.96 : 272.75 = 156.65 : x
  2. Step 2: Convert to fraction form
    197.96/272.75 = 156.65/x
  3. Step 3: Cross multiply
    197.96x = 272.75 × 156.65
  4. Step 4: Simplify right side
    197.96x = 42,724.14
  5. Step 5: Solve for x
    x = 42,724.14/197.96
  6. Step 6: Final answer
    x = 215.83

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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.