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Finding the Fourth Proportional to 213.44, 320.16 and 122.24

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Solution

The fourth proportional to 213.44, 320.16 and 122.24 is: 183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.44 : 320.16 = 122.24 : x
  2. Step 2: Convert to fraction form
    213.44/320.16 = 122.24/x
  3. Step 3: Cross multiply
    213.44x = 320.16 × 122.24
  4. Step 4: Simplify right side
    213.44x = 39,136.36
  5. Step 5: Solve for x
    x = 39,136.36/213.44
  6. Step 6: Final answer
    x = 183.36

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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.