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Finding the Fourth Proportional to 223.71, 308.78 and 205.28

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Solution

The fourth proportional to 223.71, 308.78 and 205.28 is: 283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.71 : 308.78 = 205.28 : x
  2. Step 2: Convert to fraction form
    223.71/308.78 = 205.28/x
  3. Step 3: Cross multiply
    223.71x = 308.78 × 205.28
  4. Step 4: Simplify right side
    223.71x = 63,383.79
  5. Step 5: Solve for x
    x = 63,383.79/223.71
  6. Step 6: Final answer
    x = 283.33

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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.