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Finding the Fourth Proportional to 196.96, 295.51 and 110.35

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Solution

The fourth proportional to 196.96, 295.51 and 110.35 is: 165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.96 : 295.51 = 110.35 : x
  2. Step 2: Convert to fraction form
    196.96/295.51 = 110.35/x
  3. Step 3: Cross multiply
    196.96x = 295.51 × 110.35
  4. Step 4: Simplify right side
    196.96x = 32,609.53
  5. Step 5: Solve for x
    x = 32,609.53/196.96
  6. Step 6: Final answer
    x = 165.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.