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Finding the Fourth Proportional to 205.94, 284.07 and 164.54

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Solution

The fourth proportional to 205.94, 284.07 and 164.54 is: 226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 284.07 = 164.54 : x
  2. Step 2: Convert to fraction form
    205.94/284.07 = 164.54/x
  3. Step 3: Cross multiply
    205.94x = 284.07 × 164.54
  4. Step 4: Simplify right side
    205.94x = 46,740.88
  5. Step 5: Solve for x
    x = 46,740.88/205.94
  6. Step 6: Final answer
    x = 226.96

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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.