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Finding the Fourth Proportional to 219.45, 329.04 and 205.14

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Solution

The fourth proportional to 219.45, 329.04 and 205.14 is: 307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.45 : 329.04 = 205.14 : x
  2. Step 2: Convert to fraction form
    219.45/329.04 = 205.14/x
  3. Step 3: Cross multiply
    219.45x = 329.04 × 205.14
  4. Step 4: Simplify right side
    219.45x = 67,499.27
  5. Step 5: Solve for x
    x = 67,499.27/219.45
  6. Step 6: Final answer
    x = 307.58

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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.