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Finding the Fourth Proportional to 173.80, 238.25 and 171.10

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Solution

The fourth proportional to 173.80, 238.25 and 171.10 is: 234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.80 : 238.25 = 171.10 : x
  2. Step 2: Convert to fraction form
    173.80/238.25 = 171.10/x
  3. Step 3: Cross multiply
    173.80x = 238.25 × 171.10
  4. Step 4: Simplify right side
    173.80x = 40,764.58
  5. Step 5: Solve for x
    x = 40,764.58/173.80
  6. Step 6: Final answer
    x = 234.55

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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.