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Finding the Fourth Proportional to 227.86, 340 and 203.56

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Solution

The fourth proportional to 227.86, 340 and 203.56 is: 303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.86 : 340 = 203.56 : x
  2. Step 2: Convert to fraction form
    227.86/340 = 203.56/x
  3. Step 3: Cross multiply
    227.86x = 340 × 203.56
  4. Step 4: Simplify right side
    227.86x = 69,210.40
  5. Step 5: Solve for x
    x = 69,210.40/227.86
  6. Step 6: Final answer
    x = 303.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.