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Finding the Fourth Proportional to 213.46, 320.20 and 144.82

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Solution

The fourth proportional to 213.46, 320.20 and 144.82 is: 217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.46 : 320.20 = 144.82 : x
  2. Step 2: Convert to fraction form
    213.46/320.20 = 144.82/x
  3. Step 3: Cross multiply
    213.46x = 320.20 × 144.82
  4. Step 4: Simplify right side
    213.46x = 46,371.36
  5. Step 5: Solve for x
    x = 46,371.36/213.46
  6. Step 6: Final answer
    x = 217.24

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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.