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Finding the Fourth Proportional to 219.11, 327.44 and 191.77

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Solution

The fourth proportional to 219.11, 327.44 and 191.77 is: 286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.11 : 327.44 = 191.77 : x
  2. Step 2: Convert to fraction form
    219.11/327.44 = 191.77/x
  3. Step 3: Cross multiply
    219.11x = 327.44 × 191.77
  4. Step 4: Simplify right side
    219.11x = 62,792.83
  5. Step 5: Solve for x
    x = 62,792.83/219.11
  6. Step 6: Final answer
    x = 286.59

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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.