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Finding the Fourth Proportional to 213.67, 319.83 and 175.06

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Solution

The fourth proportional to 213.67, 319.83 and 175.06 is: 262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.67 : 319.83 = 175.06 : x
  2. Step 2: Convert to fraction form
    213.67/319.83 = 175.06/x
  3. Step 3: Cross multiply
    213.67x = 319.83 × 175.06
  4. Step 4: Simplify right side
    213.67x = 55,989.44
  5. Step 5: Solve for x
    x = 55,989.44/213.67
  6. Step 6: Final answer
    x = 262.04

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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.