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Finding the Fourth Proportional to 257.19, 385.61 and 170.55

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Solution

The fourth proportional to 257.19, 385.61 and 170.55 is: 255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.19 : 385.61 = 170.55 : x
  2. Step 2: Convert to fraction form
    257.19/385.61 = 170.55/x
  3. Step 3: Cross multiply
    257.19x = 385.61 × 170.55
  4. Step 4: Simplify right side
    257.19x = 65,764.93
  5. Step 5: Solve for x
    x = 65,764.93/257.19
  6. Step 6: Final answer
    x = 255.71

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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.