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Finding the Fourth Proportional to 213.29, 319.93 and 105.15

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Solution

The fourth proportional to 213.29, 319.93 and 105.15 is: 157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.29 : 319.93 = 105.15 : x
  2. Step 2: Convert to fraction form
    213.29/319.93 = 105.15/x
  3. Step 3: Cross multiply
    213.29x = 319.93 × 105.15
  4. Step 4: Simplify right side
    213.29x = 33,640.38
  5. Step 5: Solve for x
    x = 33,640.38/213.29
  6. Step 6: Final answer
    x = 157.73

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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.