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Finding the Fourth Proportional to 635.87, 953.82 and 197.19

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Solution

The fourth proportional to 635.87, 953.82 and 197.19 is: 295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.87 : 953.82 = 197.19 : x
  2. Step 2: Convert to fraction form
    635.87/953.82 = 197.19/x
  3. Step 3: Cross multiply
    635.87x = 953.82 × 197.19
  4. Step 4: Simplify right side
    635.87x = 188,083.77
  5. Step 5: Solve for x
    x = 188,083.77/635.87
  6. Step 6: Final answer
    x = 295.79

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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.