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Finding the Fourth Proportional to 229.28, 316.16 and 163.76

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Solution

The fourth proportional to 229.28, 316.16 and 163.76 is: 225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.28 : 316.16 = 163.76 : x
  2. Step 2: Convert to fraction form
    229.28/316.16 = 163.76/x
  3. Step 3: Cross multiply
    229.28x = 316.16 × 163.76
  4. Step 4: Simplify right side
    229.28x = 51,774.36
  5. Step 5: Solve for x
    x = 51,774.36/229.28
  6. Step 6: Final answer
    x = 225.81

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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.