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Finding the Fourth Proportional to 196.70, 294.29 and 169.06

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Solution

The fourth proportional to 196.70, 294.29 and 169.06 is: 252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.70 : 294.29 = 169.06 : x
  2. Step 2: Convert to fraction form
    196.70/294.29 = 169.06/x
  3. Step 3: Cross multiply
    196.70x = 294.29 × 169.06
  4. Step 4: Simplify right side
    196.70x = 49,752.67
  5. Step 5: Solve for x
    x = 49,752.67/196.70
  6. Step 6: Final answer
    x = 252.94

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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.