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Finding the Fourth Proportional to 196.74, 271.51 and 108.23

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Solution

The fourth proportional to 196.74, 271.51 and 108.23 is: 149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.74 : 271.51 = 108.23 : x
  2. Step 2: Convert to fraction form
    196.74/271.51 = 108.23/x
  3. Step 3: Cross multiply
    196.74x = 271.51 × 108.23
  4. Step 4: Simplify right side
    196.74x = 29,383.90
  5. Step 5: Solve for x
    x = 29,383.90/196.74
  6. Step 6: Final answer
    x = 149.35

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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.