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Finding the Fourth Proportional to 223.83, 309.42 and 205.38

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Solution

The fourth proportional to 223.83, 309.42 and 205.38 is: 283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.83 : 309.42 = 205.38 : x
  2. Step 2: Convert to fraction form
    223.83/309.42 = 205.38/x
  3. Step 3: Cross multiply
    223.83x = 309.42 × 205.38
  4. Step 4: Simplify right side
    223.83x = 63,548.68
  5. Step 5: Solve for x
    x = 63,548.68/223.83
  6. Step 6: Final answer
    x = 283.91

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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.