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Finding the Fourth Proportional to 213.92, 320.42 and 145.07

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Solution

The fourth proportional to 213.92, 320.42 and 145.07 is: 217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.92 : 320.42 = 145.07 : x
  2. Step 2: Convert to fraction form
    213.92/320.42 = 145.07/x
  3. Step 3: Cross multiply
    213.92x = 320.42 × 145.07
  4. Step 4: Simplify right side
    213.92x = 46,481.73
  5. Step 5: Solve for x
    x = 46,481.73/213.92
  6. Step 6: Final answer
    x = 217.29

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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.