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Finding the Fourth Proportional to 274.94, 412.49 and 82.56

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Solution

The fourth proportional to 274.94, 412.49 and 82.56 is: 123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.94 : 412.49 = 82.56 : x
  2. Step 2: Convert to fraction form
    274.94/412.49 = 82.56/x
  3. Step 3: Cross multiply
    274.94x = 412.49 × 82.56
  4. Step 4: Simplify right side
    274.94x = 34,055.17
  5. Step 5: Solve for x
    x = 34,055.17/274.94
  6. Step 6: Final answer
    x = 123.86

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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.