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Finding the Fourth Proportional to 196.74, 294.75 and 164.03

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Solution

The fourth proportional to 196.74, 294.75 and 164.03 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.74 : 294.75 = 164.03 : x
  2. Step 2: Convert to fraction form
    196.74/294.75 = 164.03/x
  3. Step 3: Cross multiply
    196.74x = 294.75 × 164.03
  4. Step 4: Simplify right side
    196.74x = 48,348.58
  5. Step 5: Solve for x
    x = 48,348.58/196.74
  6. Step 6: Final answer
    x = 245.75

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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.