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Finding the Fourth Proportional to 195.79, 293.07 and 166.63

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Solution

The fourth proportional to 195.79, 293.07 and 166.63 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.79 : 293.07 = 166.63 : x
  2. Step 2: Convert to fraction form
    195.79/293.07 = 166.63/x
  3. Step 3: Cross multiply
    195.79x = 293.07 × 166.63
  4. Step 4: Simplify right side
    195.79x = 48,834.25
  5. Step 5: Solve for x
    x = 48,834.25/195.79
  6. Step 6: Final answer
    x = 249.42

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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.