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Finding the Fourth Proportional to 206.83, 309.57 and 197.11

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Solution

The fourth proportional to 206.83, 309.57 and 197.11 is: 295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.83 : 309.57 = 197.11 : x
  2. Step 2: Convert to fraction form
    206.83/309.57 = 197.11/x
  3. Step 3: Cross multiply
    206.83x = 309.57 × 197.11
  4. Step 4: Simplify right side
    206.83x = 61,019.34
  5. Step 5: Solve for x
    x = 61,019.34/206.83
  6. Step 6: Final answer
    x = 295.02

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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.