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Finding the Fourth Proportional to 227.54, 313.88 and 140.16

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Solution

The fourth proportional to 227.54, 313.88 and 140.16 is: 193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.54 : 313.88 = 140.16 : x
  2. Step 2: Convert to fraction form
    227.54/313.88 = 140.16/x
  3. Step 3: Cross multiply
    227.54x = 313.88 × 140.16
  4. Step 4: Simplify right side
    227.54x = 43,993.42
  5. Step 5: Solve for x
    x = 43,993.42/227.54
  6. Step 6: Final answer
    x = 193.34

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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.