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Finding the Fourth Proportional to 213.64, 319.97 and 105.19

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Solution

The fourth proportional to 213.64, 319.97 and 105.19 is: 157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.64 : 319.97 = 105.19 : x
  2. Step 2: Convert to fraction form
    213.64/319.97 = 105.19/x
  3. Step 3: Cross multiply
    213.64x = 319.97 × 105.19
  4. Step 4: Simplify right side
    213.64x = 33,657.11
  5. Step 5: Solve for x
    x = 33,657.11/213.64
  6. Step 6: Final answer
    x = 157.54

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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.