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Finding the Fourth Proportional to 171.44, 255.94 and 164.24

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Solution

The fourth proportional to 171.44, 255.94 and 164.24 is: 245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.44 : 255.94 = 164.24 : x
  2. Step 2: Convert to fraction form
    171.44/255.94 = 164.24/x
  3. Step 3: Cross multiply
    171.44x = 255.94 × 164.24
  4. Step 4: Simplify right side
    171.44x = 42,035.59
  5. Step 5: Solve for x
    x = 42,035.59/171.44
  6. Step 6: Final answer
    x = 245.19

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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.