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Finding the Fourth Proportional to 257.15, 385.42 and 170.99

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Solution

The fourth proportional to 257.15, 385.42 and 170.99 is: 256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.15 : 385.42 = 170.99 : x
  2. Step 2: Convert to fraction form
    257.15/385.42 = 170.99/x
  3. Step 3: Cross multiply
    257.15x = 385.42 × 170.99
  4. Step 4: Simplify right side
    257.15x = 65,902.97
  5. Step 5: Solve for x
    x = 65,902.97/257.15
  6. Step 6: Final answer
    x = 256.28

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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.