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Finding the Fourth Proportional to 208.28, 286.78 and 164.20

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Solution

The fourth proportional to 208.28, 286.78 and 164.20 is: 226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.28 : 286.78 = 164.20 : x
  2. Step 2: Convert to fraction form
    208.28/286.78 = 164.20/x
  3. Step 3: Cross multiply
    208.28x = 286.78 × 164.20
  4. Step 4: Simplify right side
    208.28x = 47,089.28
  5. Step 5: Solve for x
    x = 47,089.28/208.28
  6. Step 6: Final answer
    x = 226.09

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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.