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Finding the Fourth Proportional to 205.93, 284.48 and 164.42

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Solution

The fourth proportional to 205.93, 284.48 and 164.42 is: 227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.93 : 284.48 = 164.42 : x
  2. Step 2: Convert to fraction form
    205.93/284.48 = 164.42/x
  3. Step 3: Cross multiply
    205.93x = 284.48 × 164.42
  4. Step 4: Simplify right side
    205.93x = 46,774.20
  5. Step 5: Solve for x
    x = 46,774.20/205.93
  6. Step 6: Final answer
    x = 227.14

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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.