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Finding the Fourth Proportional to 196.63, 271.33 and 109.30

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Solution

The fourth proportional to 196.63, 271.33 and 109.30 is: 150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.63 : 271.33 = 109.30 : x
  2. Step 2: Convert to fraction form
    196.63/271.33 = 109.30/x
  3. Step 3: Cross multiply
    196.63x = 271.33 × 109.30
  4. Step 4: Simplify right side
    196.63x = 29,655.42
  5. Step 5: Solve for x
    x = 29,655.42/196.63
  6. Step 6: Final answer
    x = 150.82

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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.