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Finding the Fourth Proportional to 635.93, 953.99 and 197.22

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Solution

The fourth proportional to 635.93, 953.99 and 197.22 is: 295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.93 : 953.99 = 197.22 : x
  2. Step 2: Convert to fraction form
    635.93/953.99 = 197.22/x
  3. Step 3: Cross multiply
    635.93x = 953.99 × 197.22
  4. Step 4: Simplify right side
    635.93x = 188,144.92
  5. Step 5: Solve for x
    x = 188,144.92/635.93
  6. Step 6: Final answer
    x = 295.86

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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.