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Finding the Fourth Proportional to 635.22, 952.86 and 196.45

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Solution

The fourth proportional to 635.22, 952.86 and 196.45 is: 294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.22 : 952.86 = 196.45 : x
  2. Step 2: Convert to fraction form
    635.22/952.86 = 196.45/x
  3. Step 3: Cross multiply
    635.22x = 952.86 × 196.45
  4. Step 4: Simplify right side
    635.22x = 187,189.35
  5. Step 5: Solve for x
    x = 187,189.35/635.22
  6. Step 6: Final answer
    x = 294.68

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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.