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Finding the Fourth Proportional to 184.85, 255.11 and 106.19

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Solution

The fourth proportional to 184.85, 255.11 and 106.19 is: 146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.85 : 255.11 = 106.19 : x
  2. Step 2: Convert to fraction form
    184.85/255.11 = 106.19/x
  3. Step 3: Cross multiply
    184.85x = 255.11 × 106.19
  4. Step 4: Simplify right side
    184.85x = 27,088.86
  5. Step 5: Solve for x
    x = 27,088.86/184.85
  6. Step 6: Final answer
    x = 146.55

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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.