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Finding the Fourth Proportional to 185.94, 255.99 and 173.69

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Solution

The fourth proportional to 185.94, 255.99 and 173.69 is: 239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.94 : 255.99 = 173.69 : x
  2. Step 2: Convert to fraction form
    185.94/255.99 = 173.69/x
  3. Step 3: Cross multiply
    185.94x = 255.99 × 173.69
  4. Step 4: Simplify right side
    185.94x = 44,461.62
  5. Step 5: Solve for x
    x = 44,461.62/185.94
  6. Step 6: Final answer
    x = 239.12

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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.