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Finding the Fourth Proportional to 184.56, 254.74 and 119.04

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Solution

The fourth proportional to 184.56, 254.74 and 119.04 is: 164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.56 : 254.74 = 119.04 : x
  2. Step 2: Convert to fraction form
    184.56/254.74 = 119.04/x
  3. Step 3: Cross multiply
    184.56x = 254.74 × 119.04
  4. Step 4: Simplify right side
    184.56x = 30,324.25
  5. Step 5: Solve for x
    x = 30,324.25/184.56
  6. Step 6: Final answer
    x = 164.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.