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Finding the Fourth Proportional to 197.09, 271.70 and 157.86

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Solution

The fourth proportional to 197.09, 271.70 and 157.86 is: 217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.09 : 271.70 = 157.86 : x
  2. Step 2: Convert to fraction form
    197.09/271.70 = 157.86/x
  3. Step 3: Cross multiply
    197.09x = 271.70 × 157.86
  4. Step 4: Simplify right side
    197.09x = 42,889.77
  5. Step 5: Solve for x
    x = 42,889.77/197.09
  6. Step 6: Final answer
    x = 217.62

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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.