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Finding the Fourth Proportional to 281.65, 388.42 and 197.59

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Solution

The fourth proportional to 281.65, 388.42 and 197.59 is: 272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.65 : 388.42 = 197.59 : x
  2. Step 2: Convert to fraction form
    281.65/388.42 = 197.59/x
  3. Step 3: Cross multiply
    281.65x = 388.42 × 197.59
  4. Step 4: Simplify right side
    281.65x = 76,747.73
  5. Step 5: Solve for x
    x = 76,747.73/281.65
  6. Step 6: Final answer
    x = 272.49

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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.