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Finding the Fourth Proportional to 184.84, 255 and 106.11

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Solution

The fourth proportional to 184.84, 255 and 106.11 is: 146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.84 : 255 = 106.11 : x
  2. Step 2: Convert to fraction form
    184.84/255 = 106.11/x
  3. Step 3: Cross multiply
    184.84x = 255 × 106.11
  4. Step 4: Simplify right side
    184.84x = 27,058.05
  5. Step 5: Solve for x
    x = 27,058.05/184.84
  6. Step 6: Final answer
    x = 146.39

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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.