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Finding the Fourth Proportional to 184.98, 255.27 and 106.29

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Solution

The fourth proportional to 184.98, 255.27 and 106.29 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.98 : 255.27 = 106.29 : x
  2. Step 2: Convert to fraction form
    184.98/255.27 = 106.29/x
  3. Step 3: Cross multiply
    184.98x = 255.27 × 106.29
  4. Step 4: Simplify right side
    184.98x = 27,132.65
  5. Step 5: Solve for x
    x = 27,132.65/184.98
  6. Step 6: Final answer
    x = 146.68

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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.