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Finding the Fourth Proportional to 213.87, 320.80 and 105.63

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Solution

The fourth proportional to 213.87, 320.80 and 105.63 is: 158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.87 : 320.80 = 105.63 : x
  2. Step 2: Convert to fraction form
    213.87/320.80 = 105.63/x
  3. Step 3: Cross multiply
    213.87x = 320.80 × 105.63
  4. Step 4: Simplify right side
    213.87x = 33,886.10
  5. Step 5: Solve for x
    x = 33,886.10/213.87
  6. Step 6: Final answer
    x = 158.44

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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.