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Finding the Fourth Proportional to 197.30, 272.76 and 148.09

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Solution

The fourth proportional to 197.30, 272.76 and 148.09 is: 204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.30 : 272.76 = 148.09 : x
  2. Step 2: Convert to fraction form
    197.30/272.76 = 148.09/x
  3. Step 3: Cross multiply
    197.30x = 272.76 × 148.09
  4. Step 4: Simplify right side
    197.30x = 40,392.86
  5. Step 5: Solve for x
    x = 40,392.86/197.30
  6. Step 6: Final answer
    x = 204.73

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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.