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Finding the Fourth Proportional to 197.29, 271.71 and 182.69

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Solution

The fourth proportional to 197.29, 271.71 and 182.69 is: 251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.29 : 271.71 = 182.69 : x
  2. Step 2: Convert to fraction form
    197.29/271.71 = 182.69/x
  3. Step 3: Cross multiply
    197.29x = 271.71 × 182.69
  4. Step 4: Simplify right side
    197.29x = 49,638.70
  5. Step 5: Solve for x
    x = 49,638.70/197.29
  6. Step 6: Final answer
    x = 251.60

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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.