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Finding the Fourth Proportional to 274.82, 412.04 and 120.78

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Solution

The fourth proportional to 274.82, 412.04 and 120.78 is: 181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.82 : 412.04 = 120.78 : x
  2. Step 2: Convert to fraction form
    274.82/412.04 = 120.78/x
  3. Step 3: Cross multiply
    274.82x = 412.04 × 120.78
  4. Step 4: Simplify right side
    274.82x = 49,765.23
  5. Step 5: Solve for x
    x = 49,765.23/274.82
  6. Step 6: Final answer
    x = 181.08

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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.