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Finding the Fourth Proportional to 213.16, 319.26 and 140.92

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Solution

The fourth proportional to 213.16, 319.26 and 140.92 is: 211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.16 : 319.26 = 140.92 : x
  2. Step 2: Convert to fraction form
    213.16/319.26 = 140.92/x
  3. Step 3: Cross multiply
    213.16x = 319.26 × 140.92
  4. Step 4: Simplify right side
    213.16x = 44,990.12
  5. Step 5: Solve for x
    x = 44,990.12/213.16
  6. Step 6: Final answer
    x = 211.06

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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.