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Finding the Fourth Proportional to 281.42, 388.41 and 204.02

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Solution

The fourth proportional to 281.42, 388.41 and 204.02 is: 281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.42 : 388.41 = 204.02 : x
  2. Step 2: Convert to fraction form
    281.42/388.41 = 204.02/x
  3. Step 3: Cross multiply
    281.42x = 388.41 × 204.02
  4. Step 4: Simplify right side
    281.42x = 79,243.41
  5. Step 5: Solve for x
    x = 79,243.41/281.42
  6. Step 6: Final answer
    x = 281.58

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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.