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Finding the Fourth Proportional to 227.09, 313.41 and 128.86

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Solution

The fourth proportional to 227.09, 313.41 and 128.86 is: 177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.09 : 313.41 = 128.86 : x
  2. Step 2: Convert to fraction form
    227.09/313.41 = 128.86/x
  3. Step 3: Cross multiply
    227.09x = 313.41 × 128.86
  4. Step 4: Simplify right side
    227.09x = 40,385.37
  5. Step 5: Solve for x
    x = 40,385.37/227.09
  6. Step 6: Final answer
    x = 177.84

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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.