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Finding the Fourth Proportional to 281.52, 388.62 and 205.94

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Solution

The fourth proportional to 281.52, 388.62 and 205.94 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.52 : 388.62 = 205.94 : x
  2. Step 2: Convert to fraction form
    281.52/388.62 = 205.94/x
  3. Step 3: Cross multiply
    281.52x = 388.62 × 205.94
  4. Step 4: Simplify right side
    281.52x = 80,030.46
  5. Step 5: Solve for x
    x = 80,030.46/281.52
  6. Step 6: Final answer
    x = 284.28

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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.