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Finding the Fourth Proportional to 225.95, 311.81 and 137.41

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Solution

The fourth proportional to 225.95, 311.81 and 137.41 is: 189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.95 : 311.81 = 137.41 : x
  2. Step 2: Convert to fraction form
    225.95/311.81 = 137.41/x
  3. Step 3: Cross multiply
    225.95x = 311.81 × 137.41
  4. Step 4: Simplify right side
    225.95x = 42,845.81
  5. Step 5: Solve for x
    x = 42,845.81/225.95
  6. Step 6: Final answer
    x = 189.63

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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.