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Finding the Fourth Proportional to 196.83, 271.10 and 164.03

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Solution

The fourth proportional to 196.83, 271.10 and 164.03 is: 225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.83 : 271.10 = 164.03 : x
  2. Step 2: Convert to fraction form
    196.83/271.10 = 164.03/x
  3. Step 3: Cross multiply
    196.83x = 271.10 × 164.03
  4. Step 4: Simplify right side
    196.83x = 44,466.66
  5. Step 5: Solve for x
    x = 44,466.66/196.83
  6. Step 6: Final answer
    x = 225.91

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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.