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Finding the Fourth Proportional to 281.44, 421.93 and 251.07

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Solution

The fourth proportional to 281.44, 421.93 and 251.07 is: 376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.44 : 421.93 = 251.07 : x
  2. Step 2: Convert to fraction form
    281.44/421.93 = 251.07/x
  3. Step 3: Cross multiply
    281.44x = 421.93 × 251.07
  4. Step 4: Simplify right side
    281.44x = 105,933.97
  5. Step 5: Solve for x
    x = 105,933.97/281.44
  6. Step 6: Final answer
    x = 376.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.