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Finding the Fourth Proportional to 184.09, 254.26 and 137.66

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Solution

The fourth proportional to 184.09, 254.26 and 137.66 is: 190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.09 : 254.26 = 137.66 : x
  2. Step 2: Convert to fraction form
    184.09/254.26 = 137.66/x
  3. Step 3: Cross multiply
    184.09x = 254.26 × 137.66
  4. Step 4: Simplify right side
    184.09x = 35,002.73
  5. Step 5: Solve for x
    x = 35,002.73/184.09
  6. Step 6: Final answer
    x = 190.14

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