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Finding the Fourth Proportional to 227.50, 313.99 and 140.23

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Solution

The fourth proportional to 227.50, 313.99 and 140.23 is: 193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.50 : 313.99 = 140.23 : x
  2. Step 2: Convert to fraction form
    227.50/313.99 = 140.23/x
  3. Step 3: Cross multiply
    227.50x = 313.99 × 140.23
  4. Step 4: Simplify right side
    227.50x = 44,030.82
  5. Step 5: Solve for x
    x = 44,030.82/227.50
  6. Step 6: Final answer
    x = 193.54

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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.