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Finding the Fourth Proportional to 184.89, 255.13 and 106.22

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Solution

The fourth proportional to 184.89, 255.13 and 106.22 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.89 : 255.13 = 106.22 : x
  2. Step 2: Convert to fraction form
    184.89/255.13 = 106.22/x
  3. Step 3: Cross multiply
    184.89x = 255.13 × 106.22
  4. Step 4: Simplify right side
    184.89x = 27,099.38
  5. Step 5: Solve for x
    x = 27,099.38/184.89
  6. Step 6: Final answer
    x = 146.57

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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.