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Finding the Fourth Proportional to 185.36, 277.61 and 108.23

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Solution

The fourth proportional to 185.36, 277.61 and 108.23 is: 162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.36 : 277.61 = 108.23 : x
  2. Step 2: Convert to fraction form
    185.36/277.61 = 108.23/x
  3. Step 3: Cross multiply
    185.36x = 277.61 × 108.23
  4. Step 4: Simplify right side
    185.36x = 30,043.80
  5. Step 5: Solve for x
    x = 30,043.80/185.36
  6. Step 6: Final answer
    x = 162.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.