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Finding the Fourth Proportional to 196.68, 294.89 and 110.04

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Solution

The fourth proportional to 196.68, 294.89 and 110.04 is: 164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.68 : 294.89 = 110.04 : x
  2. Step 2: Convert to fraction form
    196.68/294.89 = 110.04/x
  3. Step 3: Cross multiply
    196.68x = 294.89 × 110.04
  4. Step 4: Simplify right side
    196.68x = 32,449.15
  5. Step 5: Solve for x
    x = 32,449.15/196.68
  6. Step 6: Final answer
    x = 164.98

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Why These Related Problems?

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