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Finding the Fourth Proportional to 197.46, 271.54 and 159.66

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Solution

The fourth proportional to 197.46, 271.54 and 159.66 is: 219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.46 : 271.54 = 159.66 : x
  2. Step 2: Convert to fraction form
    197.46/271.54 = 159.66/x
  3. Step 3: Cross multiply
    197.46x = 271.54 × 159.66
  4. Step 4: Simplify right side
    197.46x = 43,354.08
  5. Step 5: Solve for x
    x = 43,354.08/197.46
  6. Step 6: Final answer
    x = 219.56

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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.