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Finding the Fourth Proportional to 281.06, 388.49 and 208.02

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Solution

The fourth proportional to 281.06, 388.49 and 208.02 is: 287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.06 : 388.49 = 208.02 : x
  2. Step 2: Convert to fraction form
    281.06/388.49 = 208.02/x
  3. Step 3: Cross multiply
    281.06x = 388.49 × 208.02
  4. Step 4: Simplify right side
    281.06x = 80,813.69
  5. Step 5: Solve for x
    x = 80,813.69/281.06
  6. Step 6: Final answer
    x = 287.53

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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.