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Finding the Fourth Proportional to 208.20, 312.67 and 197.57

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Solution

The fourth proportional to 208.20, 312.67 and 197.57 is: 296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.20 : 312.67 = 197.57 : x
  2. Step 2: Convert to fraction form
    208.20/312.67 = 197.57/x
  3. Step 3: Cross multiply
    208.20x = 312.67 × 197.57
  4. Step 4: Simplify right side
    208.20x = 61,772.65
  5. Step 5: Solve for x
    x = 61,772.65/208.20
  6. Step 6: Final answer
    x = 296.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.