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Finding the Fourth Proportional to 442.77, 664.05 and 199.14

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Solution

The fourth proportional to 442.77, 664.05 and 199.14 is: 298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.77 : 664.05 = 199.14 : x
  2. Step 2: Convert to fraction form
    442.77/664.05 = 199.14/x
  3. Step 3: Cross multiply
    442.77x = 664.05 × 199.14
  4. Step 4: Simplify right side
    442.77x = 132,238.92
  5. Step 5: Solve for x
    x = 132,238.92/442.77
  6. Step 6: Final answer
    x = 298.66

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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.