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Finding the Fourth Proportional to 197.88, 272.82 and 158.67

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Solution

The fourth proportional to 197.88, 272.82 and 158.67 is: 218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.88 : 272.82 = 158.67 : x
  2. Step 2: Convert to fraction form
    197.88/272.82 = 158.67/x
  3. Step 3: Cross multiply
    197.88x = 272.82 × 158.67
  4. Step 4: Simplify right side
    197.88x = 43,288.35
  5. Step 5: Solve for x
    x = 43,288.35/197.88
  6. Step 6: Final answer
    x = 218.76

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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.