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Finding the Fourth Proportional to 281.42, 388.36 and 170.82

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Solution

The fourth proportional to 281.42, 388.36 and 170.82 is: 235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.42 : 388.36 = 170.82 : x
  2. Step 2: Convert to fraction form
    281.42/388.36 = 170.82/x
  3. Step 3: Cross multiply
    281.42x = 388.36 × 170.82
  4. Step 4: Simplify right side
    281.42x = 66,339.23
  5. Step 5: Solve for x
    x = 66,339.23/281.42
  6. Step 6: Final answer
    x = 235.73

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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.