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Finding the Fourth Proportional to 257.97, 385.16 and 212.21

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Solution

The fourth proportional to 257.97, 385.16 and 212.21 is: 316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.97 : 385.16 = 212.21 : x
  2. Step 2: Convert to fraction form
    257.97/385.16 = 212.21/x
  3. Step 3: Cross multiply
    257.97x = 385.16 × 212.21
  4. Step 4: Simplify right side
    257.97x = 81,731.82
  5. Step 5: Solve for x
    x = 81,731.82/257.97
  6. Step 6: Final answer
    x = 316.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.