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Finding the Fourth Proportional to 197.02, 271.62 and 167.40

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Solution

The fourth proportional to 197.02, 271.62 and 167.40 is: 230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.02 : 271.62 = 167.40 : x
  2. Step 2: Convert to fraction form
    197.02/271.62 = 167.40/x
  3. Step 3: Cross multiply
    197.02x = 271.62 × 167.40
  4. Step 4: Simplify right side
    197.02x = 45,469.19
  5. Step 5: Solve for x
    x = 45,469.19/197.02
  6. Step 6: Final answer
    x = 230.78

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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.