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Finding the Fourth Proportional to 442.70, 663.73 and 195.78

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Solution

The fourth proportional to 442.70, 663.73 and 195.78 is: 293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.70 : 663.73 = 195.78 : x
  2. Step 2: Convert to fraction form
    442.70/663.73 = 195.78/x
  3. Step 3: Cross multiply
    442.70x = 663.73 × 195.78
  4. Step 4: Simplify right side
    442.70x = 129,945.06
  5. Step 5: Solve for x
    x = 129,945.06/442.70
  6. Step 6: Final answer
    x = 293.53

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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.