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Finding the Fourth Proportional to 257.67, 385.43 and 219.20

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Solution

The fourth proportional to 257.67, 385.43 and 219.20 is: 327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.67 : 385.43 = 219.20 : x
  2. Step 2: Convert to fraction form
    257.67/385.43 = 219.20/x
  3. Step 3: Cross multiply
    257.67x = 385.43 × 219.20
  4. Step 4: Simplify right side
    257.67x = 84,483.23
  5. Step 5: Solve for x
    x = 84,483.23/257.67
  6. Step 6: Final answer
    x = 327.87

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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.