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Finding the Fourth Proportional to 281.56, 388.62 and 203.92

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Solution

The fourth proportional to 281.56, 388.62 and 203.92 is: 281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.56 : 388.62 = 203.92 : x
  2. Step 2: Convert to fraction form
    281.56/388.62 = 203.92/x
  3. Step 3: Cross multiply
    281.56x = 388.62 × 203.92
  4. Step 4: Simplify right side
    281.56x = 79,247.39
  5. Step 5: Solve for x
    x = 79,247.39/281.56
  6. Step 6: Final answer
    x = 281.46

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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.