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Finding the Fourth Proportional to 196.90, 271.73 and 109.60

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Solution

The fourth proportional to 196.90, 271.73 and 109.60 is: 151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.90 : 271.73 = 109.60 : x
  2. Step 2: Convert to fraction form
    196.90/271.73 = 109.60/x
  3. Step 3: Cross multiply
    196.90x = 271.73 × 109.60
  4. Step 4: Simplify right side
    196.90x = 29,781.61
  5. Step 5: Solve for x
    x = 29,781.61/196.90
  6. Step 6: Final answer
    x = 151.25

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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.