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Finding the Fourth Proportional to 219.01, 327.88 and 130.90

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Solution

The fourth proportional to 219.01, 327.88 and 130.90 is: 195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.01 : 327.88 = 130.90 : x
  2. Step 2: Convert to fraction form
    219.01/327.88 = 130.90/x
  3. Step 3: Cross multiply
    219.01x = 327.88 × 130.90
  4. Step 4: Simplify right side
    219.01x = 42,919.49
  5. Step 5: Solve for x
    x = 42,919.49/219.01
  6. Step 6: Final answer
    x = 195.97

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Why These Related Problems?

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