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Finding the Fourth Proportional to 219.63, 329.11 and 164.52

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Solution

The fourth proportional to 219.63, 329.11 and 164.52 is: 246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.63 : 329.11 = 164.52 : x
  2. Step 2: Convert to fraction form
    219.63/329.11 = 164.52/x
  3. Step 3: Cross multiply
    219.63x = 329.11 × 164.52
  4. Step 4: Simplify right side
    219.63x = 54,145.69
  5. Step 5: Solve for x
    x = 54,145.69/219.63
  6. Step 6: Final answer
    x = 246.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.