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Finding the Fourth Proportional to 196.75, 293.60 and 170.83

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Solution

The fourth proportional to 196.75, 293.60 and 170.83 is: 254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.75 : 293.60 = 170.83 : x
  2. Step 2: Convert to fraction form
    196.75/293.60 = 170.83/x
  3. Step 3: Cross multiply
    196.75x = 293.60 × 170.83
  4. Step 4: Simplify right side
    196.75x = 50,155.69
  5. Step 5: Solve for x
    x = 50,155.69/196.75
  6. Step 6: Final answer
    x = 254.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.