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Finding the Fourth Proportional to 173.75, 238.44 and 157.34

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Solution

The fourth proportional to 173.75, 238.44 and 157.34 is: 215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.75 : 238.44 = 157.34 : x
  2. Step 2: Convert to fraction form
    173.75/238.44 = 157.34/x
  3. Step 3: Cross multiply
    173.75x = 238.44 × 157.34
  4. Step 4: Simplify right side
    173.75x = 37,517.34
  5. Step 5: Solve for x
    x = 37,517.34/173.75
  6. Step 6: Final answer
    x = 215.93

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