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Finding the Fourth Proportional to 185.56, 255.80 and 133.09

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Solution

The fourth proportional to 185.56, 255.80 and 133.09 is: 183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.56 : 255.80 = 133.09 : x
  2. Step 2: Convert to fraction form
    185.56/255.80 = 133.09/x
  3. Step 3: Cross multiply
    185.56x = 255.80 × 133.09
  4. Step 4: Simplify right side
    185.56x = 34,044.42
  5. Step 5: Solve for x
    x = 34,044.42/185.56
  6. Step 6: Final answer
    x = 183.47

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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.