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Finding the Fourth Proportional to 217.25, 299.68 and 134.30

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Solution

The fourth proportional to 217.25, 299.68 and 134.30 is: 185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.25 : 299.68 = 134.30 : x
  2. Step 2: Convert to fraction form
    217.25/299.68 = 134.30/x
  3. Step 3: Cross multiply
    217.25x = 299.68 × 134.30
  4. Step 4: Simplify right side
    217.25x = 40,245.19
  5. Step 5: Solve for x
    x = 40,245.19/217.25
  6. Step 6: Final answer
    x = 185.25

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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.