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Finding the Fourth Proportional to 219.05, 300.65 and 195.20

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Solution

The fourth proportional to 219.05, 300.65 and 195.20 is: 267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.05 : 300.65 = 195.20 : x
  2. Step 2: Convert to fraction form
    219.05/300.65 = 195.20/x
  3. Step 3: Cross multiply
    219.05x = 300.65 × 195.20
  4. Step 4: Simplify right side
    219.05x = 58,684.40
  5. Step 5: Solve for x
    x = 58,684.40/219.05
  6. Step 6: Final answer
    x = 267.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.