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Finding the Fourth Proportional to 281.36, 422.09 and 98.81

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Solution

The fourth proportional to 281.36, 422.09 and 98.81 is: 148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.36 : 422.09 = 98.81 : x
  2. Step 2: Convert to fraction form
    281.36/422.09 = 98.81/x
  3. Step 3: Cross multiply
    281.36x = 422.09 × 98.81
  4. Step 4: Simplify right side
    281.36x = 41,706.71
  5. Step 5: Solve for x
    x = 41,706.71/281.36
  6. Step 6: Final answer
    x = 148.23

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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.