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Finding the Fourth Proportional to 184.77, 255.01 and 119.47

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Solution

The fourth proportional to 184.77, 255.01 and 119.47 is: 164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.77 : 255.01 = 119.47 : x
  2. Step 2: Convert to fraction form
    184.77/255.01 = 119.47/x
  3. Step 3: Cross multiply
    184.77x = 255.01 × 119.47
  4. Step 4: Simplify right side
    184.77x = 30,465.56
  5. Step 5: Solve for x
    x = 30,465.56/184.77
  6. Step 6: Final answer
    x = 164.88

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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.