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Finding the Fourth Proportional to 219.36, 327.24 and 190.08

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Solution

The fourth proportional to 219.36, 327.24 and 190.08 is: 283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.36 : 327.24 = 190.08 : x
  2. Step 2: Convert to fraction form
    219.36/327.24 = 190.08/x
  3. Step 3: Cross multiply
    219.36x = 327.24 × 190.08
  4. Step 4: Simplify right side
    219.36x = 62,201.78
  5. Step 5: Solve for x
    x = 62,201.78/219.36
  6. Step 6: Final answer
    x = 283.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.