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Finding the Fourth Proportional to 274.61, 412.09 and 120.54

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Solution

The fourth proportional to 274.61, 412.09 and 120.54 is: 180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.61 : 412.09 = 120.54 : x
  2. Step 2: Convert to fraction form
    274.61/412.09 = 120.54/x
  3. Step 3: Cross multiply
    274.61x = 412.09 × 120.54
  4. Step 4: Simplify right side
    274.61x = 49,673.33
  5. Step 5: Solve for x
    x = 49,673.33/274.61
  6. Step 6: Final answer
    x = 180.89

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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.