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Finding the Fourth Proportional to 184.91, 255.20 and 111.26

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Solution

The fourth proportional to 184.91, 255.20 and 111.26 is: 153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.91 : 255.20 = 111.26 : x
  2. Step 2: Convert to fraction form
    184.91/255.20 = 111.26/x
  3. Step 3: Cross multiply
    184.91x = 255.20 × 111.26
  4. Step 4: Simplify right side
    184.91x = 28,393.63
  5. Step 5: Solve for x
    x = 28,393.63/184.91
  6. Step 6: Final answer
    x = 153.56

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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.