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Finding the Fourth Proportional to 281.49, 388.38 and 222.49

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Solution

The fourth proportional to 281.49, 388.38 and 222.49 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.49 : 388.38 = 222.49 : x
  2. Step 2: Convert to fraction form
    281.49/388.38 = 222.49/x
  3. Step 3: Cross multiply
    281.49x = 388.38 × 222.49
  4. Step 4: Simplify right side
    281.49x = 86,410.67
  5. Step 5: Solve for x
    x = 86,410.67/281.49
  6. Step 6: Final answer
    x = 306.98

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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.