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Finding the Fourth Proportional to 196.85, 294.99 and 110.22

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Solution

The fourth proportional to 196.85, 294.99 and 110.22 is: 165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.85 : 294.99 = 110.22 : x
  2. Step 2: Convert to fraction form
    196.85/294.99 = 110.22/x
  3. Step 3: Cross multiply
    196.85x = 294.99 × 110.22
  4. Step 4: Simplify right side
    196.85x = 32,513.80
  5. Step 5: Solve for x
    x = 32,513.80/196.85
  6. Step 6: Final answer
    x = 165.17

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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.