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Finding the Fourth Proportional to 196.41, 271.05 and 109.08

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Solution

The fourth proportional to 196.41, 271.05 and 109.08 is: 150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.41 : 271.05 = 109.08 : x
  2. Step 2: Convert to fraction form
    196.41/271.05 = 109.08/x
  3. Step 3: Cross multiply
    196.41x = 271.05 × 109.08
  4. Step 4: Simplify right side
    196.41x = 29,566.74
  5. Step 5: Solve for x
    x = 29,566.74/196.41
  6. Step 6: Final answer
    x = 150.54

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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.