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Finding the Fourth Proportional to 185.45, 255.87 and 133.01

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Solution

The fourth proportional to 185.45, 255.87 and 133.01 is: 183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.45 : 255.87 = 133.01 : x
  2. Step 2: Convert to fraction form
    185.45/255.87 = 133.01/x
  3. Step 3: Cross multiply
    185.45x = 255.87 × 133.01
  4. Step 4: Simplify right side
    185.45x = 34,033.27
  5. Step 5: Solve for x
    x = 34,033.27/185.45
  6. Step 6: Final answer
    x = 183.52

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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.