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Finding the Fourth Proportional to 184.95, 255.06 and 138.27

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Solution

The fourth proportional to 184.95, 255.06 and 138.27 is: 190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.95 : 255.06 = 138.27 : x
  2. Step 2: Convert to fraction form
    184.95/255.06 = 138.27/x
  3. Step 3: Cross multiply
    184.95x = 255.06 × 138.27
  4. Step 4: Simplify right side
    184.95x = 35,267.15
  5. Step 5: Solve for x
    x = 35,267.15/184.95
  6. Step 6: Final answer
    x = 190.68

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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.