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Finding the Fourth Proportional to 196.65, 271.62 and 165.67

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Solution

The fourth proportional to 196.65, 271.62 and 165.67 is: 228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.65 : 271.62 = 165.67 : x
  2. Step 2: Convert to fraction form
    196.65/271.62 = 165.67/x
  3. Step 3: Cross multiply
    196.65x = 271.62 × 165.67
  4. Step 4: Simplify right side
    196.65x = 44,998.61
  5. Step 5: Solve for x
    x = 44,998.61/196.65
  6. Step 6: Final answer
    x = 228.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.