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Finding the Fourth Proportional to 196.37, 271.02 and 165.23

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Solution

The fourth proportional to 196.37, 271.02 and 165.23 is: 228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.37 : 271.02 = 165.23 : x
  2. Step 2: Convert to fraction form
    196.37/271.02 = 165.23/x
  3. Step 3: Cross multiply
    196.37x = 271.02 × 165.23
  4. Step 4: Simplify right side
    196.37x = 44,780.63
  5. Step 5: Solve for x
    x = 44,780.63/196.37
  6. Step 6: Final answer
    x = 228.04

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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.