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Finding the Fourth Proportional to 206.88, 286.56 and 202.56

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Solution

The fourth proportional to 206.88, 286.56 and 202.56 is: 280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.88 : 286.56 = 202.56 : x
  2. Step 2: Convert to fraction form
    206.88/286.56 = 202.56/x
  3. Step 3: Cross multiply
    206.88x = 286.56 × 202.56
  4. Step 4: Simplify right side
    206.88x = 58,045.59
  5. Step 5: Solve for x
    x = 58,045.59/206.88
  6. Step 6: Final answer
    x = 280.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.