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Finding the Fourth Proportional to 184.78, 255 and 106.10

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Solution

The fourth proportional to 184.78, 255 and 106.10 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.78 : 255 = 106.10 : x
  2. Step 2: Convert to fraction form
    184.78/255 = 106.10/x
  3. Step 3: Cross multiply
    184.78x = 255 × 106.10
  4. Step 4: Simplify right side
    184.78x = 27,055.50
  5. Step 5: Solve for x
    x = 27,055.50/184.78
  6. Step 6: Final answer
    x = 146.42

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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.