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Finding the Fourth Proportional to 257.21, 353.86 and 237.63

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Solution

The fourth proportional to 257.21, 353.86 and 237.63 is: 326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.21 : 353.86 = 237.63 : x
  2. Step 2: Convert to fraction form
    257.21/353.86 = 237.63/x
  3. Step 3: Cross multiply
    257.21x = 353.86 × 237.63
  4. Step 4: Simplify right side
    257.21x = 84,087.75
  5. Step 5: Solve for x
    x = 84,087.75/257.21
  6. Step 6: Final answer
    x = 326.92

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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.