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Finding the Fourth Proportional to 257.22, 354.87 and 217.80

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Solution

The fourth proportional to 257.22, 354.87 and 217.80 is: 300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.22 : 354.87 = 217.80 : x
  2. Step 2: Convert to fraction form
    257.22/354.87 = 217.80/x
  3. Step 3: Cross multiply
    257.22x = 354.87 × 217.80
  4. Step 4: Simplify right side
    257.22x = 77,290.69
  5. Step 5: Solve for x
    x = 77,290.69/257.22
  6. Step 6: Final answer
    x = 300.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.