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Finding the Fourth Proportional to 219.64, 303.12 and 163.68

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Solution

The fourth proportional to 219.64, 303.12 and 163.68 is: 225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.64 : 303.12 = 163.68 : x
  2. Step 2: Convert to fraction form
    219.64/303.12 = 163.68/x
  3. Step 3: Cross multiply
    219.64x = 303.12 × 163.68
  4. Step 4: Simplify right side
    219.64x = 49,614.68
  5. Step 5: Solve for x
    x = 49,614.68/219.64
  6. Step 6: Final answer
    x = 225.89

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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.