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Finding the Fourth Proportional to 281.69, 422.57 and 137.41

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Solution

The fourth proportional to 281.69, 422.57 and 137.41 is: 206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.69 : 422.57 = 137.41 : x
  2. Step 2: Convert to fraction form
    281.69/422.57 = 137.41/x
  3. Step 3: Cross multiply
    281.69x = 422.57 × 137.41
  4. Step 4: Simplify right side
    281.69x = 58,065.34
  5. Step 5: Solve for x
    x = 58,065.34/281.69
  6. Step 6: Final answer
    x = 206.13

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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.