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Finding the Fourth Proportional to 208.70, 286.32 and 203.31

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Solution

The fourth proportional to 208.70, 286.32 and 203.31 is: 278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.70 : 286.32 = 203.31 : x
  2. Step 2: Convert to fraction form
    208.70/286.32 = 203.31/x
  3. Step 3: Cross multiply
    208.70x = 286.32 × 203.31
  4. Step 4: Simplify right side
    208.70x = 58,212.48
  5. Step 5: Solve for x
    x = 58,212.48/208.70
  6. Step 6: Final answer
    x = 278.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.