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Finding the Fourth Proportional to 206.84, 309.66 and 194.66

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Solution

The fourth proportional to 206.84, 309.66 and 194.66 is: 291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.84 : 309.66 = 194.66 : x
  2. Step 2: Convert to fraction form
    206.84/309.66 = 194.66/x
  3. Step 3: Cross multiply
    206.84x = 309.66 × 194.66
  4. Step 4: Simplify right side
    206.84x = 60,278.42
  5. Step 5: Solve for x
    x = 60,278.42/206.84
  6. Step 6: Final answer
    x = 291.43

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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.