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Finding the Fourth Proportional to 217.80, 327.06 and 136.80

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Solution

The fourth proportional to 217.80, 327.06 and 136.80 is: 205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.80 : 327.06 = 136.80 : x
  2. Step 2: Convert to fraction form
    217.80/327.06 = 136.80/x
  3. Step 3: Cross multiply
    217.80x = 327.06 × 136.80
  4. Step 4: Simplify right side
    217.80x = 44,741.81
  5. Step 5: Solve for x
    x = 44,741.81/217.80
  6. Step 6: Final answer
    x = 205.43

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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.