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Finding the Fourth Proportional to 196.61, 271.31 and 109.28

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Solution

The fourth proportional to 196.61, 271.31 and 109.28 is: 150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.61 : 271.31 = 109.28 : x
  2. Step 2: Convert to fraction form
    196.61/271.31 = 109.28/x
  3. Step 3: Cross multiply
    196.61x = 271.31 × 109.28
  4. Step 4: Simplify right side
    196.61x = 29,648.89
  5. Step 5: Solve for x
    x = 29,648.89/196.61
  6. Step 6: Final answer
    x = 150.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.