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Finding the Fourth Proportional to 206.82, 308.53 and 192.09

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Solution

The fourth proportional to 206.82, 308.53 and 192.09 is: 286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.82 : 308.53 = 192.09 : x
  2. Step 2: Convert to fraction form
    206.82/308.53 = 192.09/x
  3. Step 3: Cross multiply
    206.82x = 308.53 × 192.09
  4. Step 4: Simplify right side
    206.82x = 59,264.47
  5. Step 5: Solve for x
    x = 59,264.47/206.82
  6. Step 6: Final answer
    x = 286.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.