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Finding the Fourth Proportional to 213.56, 319.77 and 168

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Solution

The fourth proportional to 213.56, 319.77 and 168 is: 251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.56 : 319.77 = 168 : x
  2. Step 2: Convert to fraction form
    213.56/319.77 = 168/x
  3. Step 3: Cross multiply
    213.56x = 319.77 × 168
  4. Step 4: Simplify right side
    213.56x = 53,721.36
  5. Step 5: Solve for x
    x = 53,721.36/213.56
  6. Step 6: Final answer
    x = 251.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.