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Finding the Fourth Proportional to 209.41, 314.12 and 197.87

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Solution

The fourth proportional to 209.41, 314.12 and 197.87 is: 296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.41 : 314.12 = 197.87 : x
  2. Step 2: Convert to fraction form
    209.41/314.12 = 197.87/x
  3. Step 3: Cross multiply
    209.41x = 314.12 × 197.87
  4. Step 4: Simplify right side
    209.41x = 62,153.85
  5. Step 5: Solve for x
    x = 62,153.85/209.41
  6. Step 6: Final answer
    x = 296.81

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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.