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Finding the Fourth Proportional to 281.21, 387.89 and 181.75

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Solution

The fourth proportional to 281.21, 387.89 and 181.75 is: 250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.21 : 387.89 = 181.75 : x
  2. Step 2: Convert to fraction form
    281.21/387.89 = 181.75/x
  3. Step 3: Cross multiply
    281.21x = 387.89 × 181.75
  4. Step 4: Simplify right side
    281.21x = 70,499.63
  5. Step 5: Solve for x
    x = 70,499.63/281.21
  6. Step 6: Final answer
    x = 250.71

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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.