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Finding the Fourth Proportional to 173.14, 259.64 and 119.06

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Solution

The fourth proportional to 173.14, 259.64 and 119.06 is: 178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.14 : 259.64 = 119.06 : x
  2. Step 2: Convert to fraction form
    173.14/259.64 = 119.06/x
  3. Step 3: Cross multiply
    173.14x = 259.64 × 119.06
  4. Step 4: Simplify right side
    173.14x = 30,912.74
  5. Step 5: Solve for x
    x = 30,912.74/173.14
  6. Step 6: Final answer
    x = 178.54

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Why These Related Problems?

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