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Finding the Fourth Proportional to 227.48, 314.21 and 168.58

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Solution

The fourth proportional to 227.48, 314.21 and 168.58 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.48 : 314.21 = 168.58 : x
  2. Step 2: Convert to fraction form
    227.48/314.21 = 168.58/x
  3. Step 3: Cross multiply
    227.48x = 314.21 × 168.58
  4. Step 4: Simplify right side
    227.48x = 52,969.52
  5. Step 5: Solve for x
    x = 52,969.52/227.48
  6. Step 6: Final answer
    x = 232.85

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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.