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Finding the Fourth Proportional to 281.84, 422.15 and 137.25

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Solution

The fourth proportional to 281.84, 422.15 and 137.25 is: 205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.84 : 422.15 = 137.25 : x
  2. Step 2: Convert to fraction form
    281.84/422.15 = 137.25/x
  3. Step 3: Cross multiply
    281.84x = 422.15 × 137.25
  4. Step 4: Simplify right side
    281.84x = 57,939.40
  5. Step 5: Solve for x
    x = 57,939.40/281.84
  6. Step 6: Final answer
    x = 205.58

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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.