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Finding the Fourth Proportional to 274.75, 412.17 and 82.42

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Solution

The fourth proportional to 274.75, 412.17 and 82.42 is: 123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.75 : 412.17 = 82.42 : x
  2. Step 2: Convert to fraction form
    274.75/412.17 = 82.42/x
  3. Step 3: Cross multiply
    274.75x = 412.17 × 82.42
  4. Step 4: Simplify right side
    274.75x = 33,971.05
  5. Step 5: Solve for x
    x = 33,971.05/274.75
  6. Step 6: Final answer
    x = 123.64

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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.