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Finding the Fourth Proportional to 217.53, 300.09 and 134.49

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Solution

The fourth proportional to 217.53, 300.09 and 134.49 is: 185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.53 : 300.09 = 134.49 : x
  2. Step 2: Convert to fraction form
    217.53/300.09 = 134.49/x
  3. Step 3: Cross multiply
    217.53x = 300.09 × 134.49
  4. Step 4: Simplify right side
    217.53x = 40,359.10
  5. Step 5: Solve for x
    x = 40,359.10/217.53
  6. Step 6: Final answer
    x = 185.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.