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Finding the Fourth Proportional to 197.01, 272.10 and 148.11

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Solution

The fourth proportional to 197.01, 272.10 and 148.11 is: 204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.01 : 272.10 = 148.11 : x
  2. Step 2: Convert to fraction form
    197.01/272.10 = 148.11/x
  3. Step 3: Cross multiply
    197.01x = 272.10 × 148.11
  4. Step 4: Simplify right side
    197.01x = 40,300.73
  5. Step 5: Solve for x
    x = 40,300.73/197.01
  6. Step 6: Final answer
    x = 204.56

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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.