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Finding the Fourth Proportional to 207.78, 286.92 and 164.31

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Solution

The fourth proportional to 207.78, 286.92 and 164.31 is: 226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.78 : 286.92 = 164.31 : x
  2. Step 2: Convert to fraction form
    207.78/286.92 = 164.31/x
  3. Step 3: Cross multiply
    207.78x = 286.92 × 164.31
  4. Step 4: Simplify right side
    207.78x = 47,143.83
  5. Step 5: Solve for x
    x = 47,143.83/207.78
  6. Step 6: Final answer
    x = 226.89

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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.