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Finding the Fourth Proportional to 227, 313.29 and 149.42

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Solution

The fourth proportional to 227, 313.29 and 149.42 is: 206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227 : 313.29 = 149.42 : x
  2. Step 2: Convert to fraction form
    227/313.29 = 149.42/x
  3. Step 3: Cross multiply
    227x = 313.29 × 149.42
  4. Step 4: Simplify right side
    227x = 46,811.79
  5. Step 5: Solve for x
    x = 46,811.79/227
  6. Step 6: Final answer
    x = 206.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.