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Finding the Fourth Proportional to 205.79, 283.84 and 164.25

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Solution

The fourth proportional to 205.79, 283.84 and 164.25 is: 226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.79 : 283.84 = 164.25 : x
  2. Step 2: Convert to fraction form
    205.79/283.84 = 164.25/x
  3. Step 3: Cross multiply
    205.79x = 283.84 × 164.25
  4. Step 4: Simplify right side
    205.79x = 46,620.31
  5. Step 5: Solve for x
    x = 46,620.31/205.79
  6. Step 6: Final answer
    x = 226.55

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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.