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Finding the Fourth Proportional to 227.75, 314.40 and 140.48

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Solution

The fourth proportional to 227.75, 314.40 and 140.48 is: 193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.75 : 314.40 = 140.48 : x
  2. Step 2: Convert to fraction form
    227.75/314.40 = 140.48/x
  3. Step 3: Cross multiply
    227.75x = 314.40 × 140.48
  4. Step 4: Simplify right side
    227.75x = 44,166.91
  5. Step 5: Solve for x
    x = 44,166.91/227.75
  6. Step 6: Final answer
    x = 193.93

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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.