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Finding the Fourth Proportional to 227.37, 313.76 and 134.15

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Solution

The fourth proportional to 227.37, 313.76 and 134.15 is: 185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.37 : 313.76 = 134.15 : x
  2. Step 2: Convert to fraction form
    227.37/313.76 = 134.15/x
  3. Step 3: Cross multiply
    227.37x = 313.76 × 134.15
  4. Step 4: Simplify right side
    227.37x = 42,090.23
  5. Step 5: Solve for x
    x = 42,090.23/227.37
  6. Step 6: Final answer
    x = 185.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.