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Finding the Fourth Proportional to 196.22, 271.01 and 171.59

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Solution

The fourth proportional to 196.22, 271.01 and 171.59 is: 236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.22 : 271.01 = 171.59 : x
  2. Step 2: Convert to fraction form
    196.22/271.01 = 171.59/x
  3. Step 3: Cross multiply
    196.22x = 271.01 × 171.59
  4. Step 4: Simplify right side
    196.22x = 46,501.68
  5. Step 5: Solve for x
    x = 46,501.68/196.22
  6. Step 6: Final answer
    x = 236.98

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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.