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Finding the Fourth Proportional to 281.73, 388.40 and 219.31

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Solution

The fourth proportional to 281.73, 388.40 and 219.31 is: 302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.73 : 388.40 = 219.31 : x
  2. Step 2: Convert to fraction form
    281.73/388.40 = 219.31/x
  3. Step 3: Cross multiply
    281.73x = 388.40 × 219.31
  4. Step 4: Simplify right side
    281.73x = 85,177.94
  5. Step 5: Solve for x
    x = 85,177.94/281.73
  6. Step 6: Final answer
    x = 302.34

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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.