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Finding the Fourth Proportional to 185.50, 255.72 and 162.28

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Solution

The fourth proportional to 185.50, 255.72 and 162.28 is: 223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.50 : 255.72 = 162.28 : x
  2. Step 2: Convert to fraction form
    185.50/255.72 = 162.28/x
  3. Step 3: Cross multiply
    185.50x = 255.72 × 162.28
  4. Step 4: Simplify right side
    185.50x = 41,498.24
  5. Step 5: Solve for x
    x = 41,498.24/185.50
  6. Step 6: Final answer
    x = 223.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.