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Finding the Fourth Proportional to 665.85, 998.76 and 226.98

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Solution

The fourth proportional to 665.85, 998.76 and 226.98 is: 340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.85 : 998.76 = 226.98 : x
  2. Step 2: Convert to fraction form
    665.85/998.76 = 226.98/x
  3. Step 3: Cross multiply
    665.85x = 998.76 × 226.98
  4. Step 4: Simplify right side
    665.85x = 226,698.54
  5. Step 5: Solve for x
    x = 226,698.54/665.85
  6. Step 6: Final answer
    x = 340.46

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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.