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Finding the Fourth Proportional to 197.03, 271.15 and 147.83

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Solution

The fourth proportional to 197.03, 271.15 and 147.83 is: 203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.03 : 271.15 = 147.83 : x
  2. Step 2: Convert to fraction form
    197.03/271.15 = 147.83/x
  3. Step 3: Cross multiply
    197.03x = 271.15 × 147.83
  4. Step 4: Simplify right side
    197.03x = 40,082.38
  5. Step 5: Solve for x
    x = 40,082.38/197.03
  6. Step 6: Final answer
    x = 203.43

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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.