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Finding the Fourth Proportional to 227.82, 314.31 and 149.18

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Solution

The fourth proportional to 227.82, 314.31 and 149.18 is: 205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.82 : 314.31 = 149.18 : x
  2. Step 2: Convert to fraction form
    227.82/314.31 = 149.18/x
  3. Step 3: Cross multiply
    227.82x = 314.31 × 149.18
  4. Step 4: Simplify right side
    227.82x = 46,888.77
  5. Step 5: Solve for x
    x = 46,888.77/227.82
  6. Step 6: Final answer
    x = 205.81

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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.