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Finding the Fourth Proportional to 205.68, 284.32 and 164.64

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Solution

The fourth proportional to 205.68, 284.32 and 164.64 is: 227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.68 : 284.32 = 164.64 : x
  2. Step 2: Convert to fraction form
    205.68/284.32 = 164.64/x
  3. Step 3: Cross multiply
    205.68x = 284.32 × 164.64
  4. Step 4: Simplify right side
    205.68x = 46,810.44
  5. Step 5: Solve for x
    x = 46,810.44/205.68
  6. Step 6: Final answer
    x = 227.59

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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.