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Finding the Fourth Proportional to 185.22, 275.96 and 173.44

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Solution

The fourth proportional to 185.22, 275.96 and 173.44 is: 258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.22 : 275.96 = 173.44 : x
  2. Step 2: Convert to fraction form
    185.22/275.96 = 173.44/x
  3. Step 3: Cross multiply
    185.22x = 275.96 × 173.44
  4. Step 4: Simplify right side
    185.22x = 47,862.50
  5. Step 5: Solve for x
    x = 47,862.50/185.22
  6. Step 6: Final answer
    x = 258.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.