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Finding the Fourth Proportional to 281.80, 388.86 and 262.20

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Solution

The fourth proportional to 281.80, 388.86 and 262.20 is: 361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.80 : 388.86 = 262.20 : x
  2. Step 2: Convert to fraction form
    281.80/388.86 = 262.20/x
  3. Step 3: Cross multiply
    281.80x = 388.86 × 262.20
  4. Step 4: Simplify right side
    281.80x = 101,959.57
  5. Step 5: Solve for x
    x = 101,959.57/281.80
  6. Step 6: Final answer
    x = 361.82

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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.