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Finding the Fourth Proportional to 185.23, 255.64 and 111.55

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Solution

The fourth proportional to 185.23, 255.64 and 111.55 is: 153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.23 : 255.64 = 111.55 : x
  2. Step 2: Convert to fraction form
    185.23/255.64 = 111.55/x
  3. Step 3: Cross multiply
    185.23x = 255.64 × 111.55
  4. Step 4: Simplify right side
    185.23x = 28,515.72
  5. Step 5: Solve for x
    x = 28,515.72/185.23
  6. Step 6: Final answer
    x = 153.95

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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.