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Finding the Fourth Proportional to 227.35, 313.57 and 139.94

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Solution

The fourth proportional to 227.35, 313.57 and 139.94 is: 193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.35 : 313.57 = 139.94 : x
  2. Step 2: Convert to fraction form
    227.35/313.57 = 139.94/x
  3. Step 3: Cross multiply
    227.35x = 313.57 × 139.94
  4. Step 4: Simplify right side
    227.35x = 43,880.99
  5. Step 5: Solve for x
    x = 43,880.99/227.35
  6. Step 6: Final answer
    x = 193.01

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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.