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Finding the Fourth Proportional to 227.73, 314.18 and 149.02

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Solution

The fourth proportional to 227.73, 314.18 and 149.02 is: 205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.73 : 314.18 = 149.02 : x
  2. Step 2: Convert to fraction form
    227.73/314.18 = 149.02/x
  3. Step 3: Cross multiply
    227.73x = 314.18 × 149.02
  4. Step 4: Simplify right side
    227.73x = 46,819.52
  5. Step 5: Solve for x
    x = 46,819.52/227.73
  6. Step 6: Final answer
    x = 205.59

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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.