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Finding the Fourth Proportional to 185.08, 255.46 and 111.40

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Solution

The fourth proportional to 185.08, 255.46 and 111.40 is: 153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.08 : 255.46 = 111.40 : x
  2. Step 2: Convert to fraction form
    185.08/255.46 = 111.40/x
  3. Step 3: Cross multiply
    185.08x = 255.46 × 111.40
  4. Step 4: Simplify right side
    185.08x = 28,458.24
  5. Step 5: Solve for x
    x = 28,458.24/185.08
  6. Step 6: Final answer
    x = 153.76

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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.