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Finding the Fourth Proportional to 274.78, 412.03 and 193.78

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Solution

The fourth proportional to 274.78, 412.03 and 193.78 is: 290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.78 : 412.03 = 193.78 : x
  2. Step 2: Convert to fraction form
    274.78/412.03 = 193.78/x
  3. Step 3: Cross multiply
    274.78x = 412.03 × 193.78
  4. Step 4: Simplify right side
    274.78x = 79,843.17
  5. Step 5: Solve for x
    x = 79,843.17/274.78
  6. Step 6: Final answer
    x = 290.57

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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.