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Finding the Fourth Proportional to 213.52, 320.46 and 105.34

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Solution

The fourth proportional to 213.52, 320.46 and 105.34 is: 158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.52 : 320.46 = 105.34 : x
  2. Step 2: Convert to fraction form
    213.52/320.46 = 105.34/x
  3. Step 3: Cross multiply
    213.52x = 320.46 × 105.34
  4. Step 4: Simplify right side
    213.52x = 33,757.26
  5. Step 5: Solve for x
    x = 33,757.26/213.52
  6. Step 6: Final answer
    x = 158.10

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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.