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Finding the Fourth Proportional to 173.37, 259.63 and 112.16

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Solution

The fourth proportional to 173.37, 259.63 and 112.16 is: 167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.37 : 259.63 = 112.16 : x
  2. Step 2: Convert to fraction form
    173.37/259.63 = 112.16/x
  3. Step 3: Cross multiply
    173.37x = 259.63 × 112.16
  4. Step 4: Simplify right side
    173.37x = 29,120.05
  5. Step 5: Solve for x
    x = 29,120.05/173.37
  6. Step 6: Final answer
    x = 167.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.