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Finding the Fourth Proportional to 206.82, 284.78 and 202.26

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Solution

The fourth proportional to 206.82, 284.78 and 202.26 is: 278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.82 : 284.78 = 202.26 : x
  2. Step 2: Convert to fraction form
    206.82/284.78 = 202.26/x
  3. Step 3: Cross multiply
    206.82x = 284.78 × 202.26
  4. Step 4: Simplify right side
    206.82x = 57,599.60
  5. Step 5: Solve for x
    x = 57,599.60/206.82
  6. Step 6: Final answer
    x = 278.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.