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Finding the Fourth Proportional to 257.75, 386.17 and 170.88

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Solution

The fourth proportional to 257.75, 386.17 and 170.88 is: 256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.75 : 386.17 = 170.88 : x
  2. Step 2: Convert to fraction form
    257.75/386.17 = 170.88/x
  3. Step 3: Cross multiply
    257.75x = 386.17 × 170.88
  4. Step 4: Simplify right side
    257.75x = 65,986.85
  5. Step 5: Solve for x
    x = 65,986.85/257.75
  6. Step 6: Final answer
    x = 256.01

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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.