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Finding the Fourth Proportional to 257.92, 385.92 and 172

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Solution

The fourth proportional to 257.92, 385.92 and 172 is: 257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.92 : 385.92 = 172 : x
  2. Step 2: Convert to fraction form
    257.92/385.92 = 172/x
  3. Step 3: Cross multiply
    257.92x = 385.92 × 172
  4. Step 4: Simplify right side
    257.92x = 66,378.24
  5. Step 5: Solve for x
    x = 66,378.24/257.92
  6. Step 6: Final answer
    x = 257.36

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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.