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Finding the Fourth Proportional to 197.69, 272.84 and 148.49

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Solution

The fourth proportional to 197.69, 272.84 and 148.49 is: 204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.69 : 272.84 = 148.49 : x
  2. Step 2: Convert to fraction form
    197.69/272.84 = 148.49/x
  3. Step 3: Cross multiply
    197.69x = 272.84 × 148.49
  4. Step 4: Simplify right side
    197.69x = 40,511.90
  5. Step 5: Solve for x
    x = 40,511.90/197.69
  6. Step 6: Final answer
    x = 204.93

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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.