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Finding the Fourth Proportional to 442.56, 663.90 and 199.06

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Solution

The fourth proportional to 442.56, 663.90 and 199.06 is: 298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.56 : 663.90 = 199.06 : x
  2. Step 2: Convert to fraction form
    442.56/663.90 = 199.06/x
  3. Step 3: Cross multiply
    442.56x = 663.90 × 199.06
  4. Step 4: Simplify right side
    442.56x = 132,153.53
  5. Step 5: Solve for x
    x = 132,153.53/442.56
  6. Step 6: Final answer
    x = 298.61

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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.