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Finding the Fourth Proportional to 205.74, 283.37 and 164.23

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Solution

The fourth proportional to 205.74, 283.37 and 164.23 is: 226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.74 : 283.37 = 164.23 : x
  2. Step 2: Convert to fraction form
    205.74/283.37 = 164.23/x
  3. Step 3: Cross multiply
    205.74x = 283.37 × 164.23
  4. Step 4: Simplify right side
    205.74x = 46,536.33
  5. Step 5: Solve for x
    x = 46,536.33/205.74
  6. Step 6: Final answer
    x = 226.19

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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.