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Finding the Fourth Proportional to 442.80, 663.93 and 199.67

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Solution

The fourth proportional to 442.80, 663.93 and 199.67 is: 299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.80 : 663.93 = 199.67 : x
  2. Step 2: Convert to fraction form
    442.80/663.93 = 199.67/x
  3. Step 3: Cross multiply
    442.80x = 663.93 × 199.67
  4. Step 4: Simplify right side
    442.80x = 132,563.58
  5. Step 5: Solve for x
    x = 132,563.58/442.80
  6. Step 6: Final answer
    x = 299.38

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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.