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Finding the Fourth Proportional to 185.06, 254.02 and 168.59

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Solution

The fourth proportional to 185.06, 254.02 and 168.59 is: 231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.06 : 254.02 = 168.59 : x
  2. Step 2: Convert to fraction form
    185.06/254.02 = 168.59/x
  3. Step 3: Cross multiply
    185.06x = 254.02 × 168.59
  4. Step 4: Simplify right side
    185.06x = 42,825.23
  5. Step 5: Solve for x
    x = 42,825.23/185.06
  6. Step 6: Final answer
    x = 231.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.