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Finding the Fourth Proportional to 171.09, 257.83 and 162.85

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Solution

The fourth proportional to 171.09, 257.83 and 162.85 is: 245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.09 : 257.83 = 162.85 : x
  2. Step 2: Convert to fraction form
    171.09/257.83 = 162.85/x
  3. Step 3: Cross multiply
    171.09x = 257.83 × 162.85
  4. Step 4: Simplify right side
    171.09x = 41,987.62
  5. Step 5: Solve for x
    x = 41,987.62/171.09
  6. Step 6: Final answer
    x = 245.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.