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Finding the Fourth Proportional to 635.46, 953.21 and 196.75

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Solution

The fourth proportional to 635.46, 953.21 and 196.75 is: 295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.46 : 953.21 = 196.75 : x
  2. Step 2: Convert to fraction form
    635.46/953.21 = 196.75/x
  3. Step 3: Cross multiply
    635.46x = 953.21 × 196.75
  4. Step 4: Simplify right side
    635.46x = 187,548.29
  5. Step 5: Solve for x
    x = 187,548.29/635.46
  6. Step 6: Final answer
    x = 295.14

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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.