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Finding the Fourth Proportional to 217.53, 300.20 and 119.30

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Solution

The fourth proportional to 217.53, 300.20 and 119.30 is: 164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.53 : 300.20 = 119.30 : x
  2. Step 2: Convert to fraction form
    217.53/300.20 = 119.30/x
  3. Step 3: Cross multiply
    217.53x = 300.20 × 119.30
  4. Step 4: Simplify right side
    217.53x = 35,813.86
  5. Step 5: Solve for x
    x = 35,813.86/217.53
  6. Step 6: Final answer
    x = 164.64

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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.