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Finding the Fourth Proportional to 217.54, 300.24 and 168.54

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Solution

The fourth proportional to 217.54, 300.24 and 168.54 is: 232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.54 : 300.24 = 168.54 : x
  2. Step 2: Convert to fraction form
    217.54/300.24 = 168.54/x
  3. Step 3: Cross multiply
    217.54x = 300.24 × 168.54
  4. Step 4: Simplify right side
    217.54x = 50,602.45
  5. Step 5: Solve for x
    x = 50,602.45/217.54
  6. Step 6: Final answer
    x = 232.61

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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.