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Finding the Fourth Proportional to 196.51, 271.09 and 144.03

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Solution

The fourth proportional to 196.51, 271.09 and 144.03 is: 198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.51 : 271.09 = 144.03 : x
  2. Step 2: Convert to fraction form
    196.51/271.09 = 144.03/x
  3. Step 3: Cross multiply
    196.51x = 271.09 × 144.03
  4. Step 4: Simplify right side
    196.51x = 39,045.09
  5. Step 5: Solve for x
    x = 39,045.09/196.51
  6. Step 6: Final answer
    x = 198.69

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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.