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Finding the Fourth Proportional to 634.57, 951.97 and 195.81

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Solution

The fourth proportional to 634.57, 951.97 and 195.81 is: 293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.57 : 951.97 = 195.81 : x
  2. Step 2: Convert to fraction form
    634.57/951.97 = 195.81/x
  3. Step 3: Cross multiply
    634.57x = 951.97 × 195.81
  4. Step 4: Simplify right side
    634.57x = 186,405.25
  5. Step 5: Solve for x
    x = 186,405.25/634.57
  6. Step 6: Final answer
    x = 293.75

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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.