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Finding the Fourth Proportional to 257.44, 385.80 and 161.32

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Solution

The fourth proportional to 257.44, 385.80 and 161.32 is: 241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.44 : 385.80 = 161.32 : x
  2. Step 2: Convert to fraction form
    257.44/385.80 = 161.32/x
  3. Step 3: Cross multiply
    257.44x = 385.80 × 161.32
  4. Step 4: Simplify right side
    257.44x = 62,237.26
  5. Step 5: Solve for x
    x = 62,237.26/257.44
  6. Step 6: Final answer
    x = 241.75

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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.