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Finding the Fourth Proportional to 208.36, 286.65 and 202.59

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Solution

The fourth proportional to 208.36, 286.65 and 202.59 is: 278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.36 : 286.65 = 202.59 : x
  2. Step 2: Convert to fraction form
    208.36/286.65 = 202.59/x
  3. Step 3: Cross multiply
    208.36x = 286.65 × 202.59
  4. Step 4: Simplify right side
    208.36x = 58,072.42
  5. Step 5: Solve for x
    x = 58,072.42/208.36
  6. Step 6: Final answer
    x = 278.71

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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.