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Finding the Fourth Proportional to 205.96, 284.16 and 164.38

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Solution

The fourth proportional to 205.96, 284.16 and 164.38 is: 226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.96 : 284.16 = 164.38 : x
  2. Step 2: Convert to fraction form
    205.96/284.16 = 164.38/x
  3. Step 3: Cross multiply
    205.96x = 284.16 × 164.38
  4. Step 4: Simplify right side
    205.96x = 46,710.22
  5. Step 5: Solve for x
    x = 46,710.22/205.96
  6. Step 6: Final answer
    x = 226.79

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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.