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Finding the Fourth Proportional to 184.49, 254.61 and 119.14

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Solution

The fourth proportional to 184.49, 254.61 and 119.14 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.49 : 254.61 = 119.14 : x
  2. Step 2: Convert to fraction form
    184.49/254.61 = 119.14/x
  3. Step 3: Cross multiply
    184.49x = 254.61 × 119.14
  4. Step 4: Simplify right side
    184.49x = 30,334.24
  5. Step 5: Solve for x
    x = 30,334.24/184.49
  6. Step 6: Final answer
    x = 164.42

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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.