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Finding the Fourth Proportional to 227.53, 313.89 and 192.45

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Solution

The fourth proportional to 227.53, 313.89 and 192.45 is: 265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.53 : 313.89 = 192.45 : x
  2. Step 2: Convert to fraction form
    227.53/313.89 = 192.45/x
  3. Step 3: Cross multiply
    227.53x = 313.89 × 192.45
  4. Step 4: Simplify right side
    227.53x = 60,407.97
  5. Step 5: Solve for x
    x = 60,407.97/227.53
  6. Step 6: Final answer
    x = 265.49

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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.