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Finding the Fourth Proportional to 173.69, 238.70 and 165.67

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Solution

The fourth proportional to 173.69, 238.70 and 165.67 is: 227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.69 : 238.70 = 165.67 : x
  2. Step 2: Convert to fraction form
    173.69/238.70 = 165.67/x
  3. Step 3: Cross multiply
    173.69x = 238.70 × 165.67
  4. Step 4: Simplify right side
    173.69x = 39,545.25
  5. Step 5: Solve for x
    x = 39,545.25/173.69
  6. Step 6: Final answer
    x = 227.68

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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.