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Finding the Fourth Proportional to 196.63, 271.34 and 108.10

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Solution

The fourth proportional to 196.63, 271.34 and 108.10 is: 149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.63 : 271.34 = 108.10 : x
  2. Step 2: Convert to fraction form
    196.63/271.34 = 108.10/x
  3. Step 3: Cross multiply
    196.63x = 271.34 × 108.10
  4. Step 4: Simplify right side
    196.63x = 29,330.50
  5. Step 5: Solve for x
    x = 29,330.50/196.63
  6. Step 6: Final answer
    x = 149.17

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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.