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Finding the Fourth Proportional to 184.75, 255.28 and 137.42

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Solution

The fourth proportional to 184.75, 255.28 and 137.42 is: 189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.75 : 255.28 = 137.42 : x
  2. Step 2: Convert to fraction form
    184.75/255.28 = 137.42/x
  3. Step 3: Cross multiply
    184.75x = 255.28 × 137.42
  4. Step 4: Simplify right side
    184.75x = 35,080.58
  5. Step 5: Solve for x
    x = 35,080.58/184.75
  6. Step 6: Final answer
    x = 189.88

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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.