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Finding the Fourth Proportional to 281.91, 389.21 and 182.37

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Solution

The fourth proportional to 281.91, 389.21 and 182.37 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.91 : 389.21 = 182.37 : x
  2. Step 2: Convert to fraction form
    281.91/389.21 = 182.37/x
  3. Step 3: Cross multiply
    281.91x = 389.21 × 182.37
  4. Step 4: Simplify right side
    281.91x = 70,980.23
  5. Step 5: Solve for x
    x = 70,980.23/281.91
  6. Step 6: Final answer
    x = 251.78

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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.