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Finding the Fourth Proportional to 227.98, 314.27 and 140.50

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Solution

The fourth proportional to 227.98, 314.27 and 140.50 is: 193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.98 : 314.27 = 140.50 : x
  2. Step 2: Convert to fraction form
    227.98/314.27 = 140.50/x
  3. Step 3: Cross multiply
    227.98x = 314.27 × 140.50
  4. Step 4: Simplify right side
    227.98x = 44,154.94
  5. Step 5: Solve for x
    x = 44,154.94/227.98
  6. Step 6: Final answer
    x = 193.68

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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.