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Finding the Fourth Proportional to 257.21, 354.73 and 220.13

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Solution

The fourth proportional to 257.21, 354.73 and 220.13 is: 303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.21 : 354.73 = 220.13 : x
  2. Step 2: Convert to fraction form
    257.21/354.73 = 220.13/x
  3. Step 3: Cross multiply
    257.21x = 354.73 × 220.13
  4. Step 4: Simplify right side
    257.21x = 78,086.71
  5. Step 5: Solve for x
    x = 78,086.71/257.21
  6. Step 6: Final answer
    x = 303.59

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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.