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Finding the Fourth Proportional to 227.57, 314.09 and 144.77

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Solution

The fourth proportional to 227.57, 314.09 and 144.77 is: 199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.57 : 314.09 = 144.77 : x
  2. Step 2: Convert to fraction form
    227.57/314.09 = 144.77/x
  3. Step 3: Cross multiply
    227.57x = 314.09 × 144.77
  4. Step 4: Simplify right side
    227.57x = 45,470.24
  5. Step 5: Solve for x
    x = 45,470.24/227.57
  6. Step 6: Final answer
    x = 199.81

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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.