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Finding the Fourth Proportional to 184.67, 254.80 and 119.27

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Solution

The fourth proportional to 184.67, 254.80 and 119.27 is: 164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.67 : 254.80 = 119.27 : x
  2. Step 2: Convert to fraction form
    184.67/254.80 = 119.27/x
  3. Step 3: Cross multiply
    184.67x = 254.80 × 119.27
  4. Step 4: Simplify right side
    184.67x = 30,390.00
  5. Step 5: Solve for x
    x = 30,390.00/184.67
  6. Step 6: Final answer
    x = 164.56

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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.