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Finding the Fourth Proportional to 281.38, 388.31 and 164.95

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Solution

The fourth proportional to 281.38, 388.31 and 164.95 is: 227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.38 : 388.31 = 164.95 : x
  2. Step 2: Convert to fraction form
    281.38/388.31 = 164.95/x
  3. Step 3: Cross multiply
    281.38x = 388.31 × 164.95
  4. Step 4: Simplify right side
    281.38x = 64,051.73
  5. Step 5: Solve for x
    x = 64,051.73/281.38
  6. Step 6: Final answer
    x = 227.63

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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.