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Finding the Fourth Proportional to 205.88, 284.39 and 164.72

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Solution

The fourth proportional to 205.88, 284.39 and 164.72 is: 227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 284.39 = 164.72 : x
  2. Step 2: Convert to fraction form
    205.88/284.39 = 164.72/x
  3. Step 3: Cross multiply
    205.88x = 284.39 × 164.72
  4. Step 4: Simplify right side
    205.88x = 46,842.48
  5. Step 5: Solve for x
    x = 46,842.48/205.88
  6. Step 6: Final answer
    x = 227.53

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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.