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Finding the Fourth Proportional to 205.78, 283.65 and 164.26

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Solution

The fourth proportional to 205.78, 283.65 and 164.26 is: 226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.78 : 283.65 = 164.26 : x
  2. Step 2: Convert to fraction form
    205.78/283.65 = 164.26/x
  3. Step 3: Cross multiply
    205.78x = 283.65 × 164.26
  4. Step 4: Simplify right side
    205.78x = 46,592.35
  5. Step 5: Solve for x
    x = 46,592.35/205.78
  6. Step 6: Final answer
    x = 226.42

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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.