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Finding the Fourth Proportional to 257.42, 385.34 and 166.18

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Solution

The fourth proportional to 257.42, 385.34 and 166.18 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.42 : 385.34 = 166.18 : x
  2. Step 2: Convert to fraction form
    257.42/385.34 = 166.18/x
  3. Step 3: Cross multiply
    257.42x = 385.34 × 166.18
  4. Step 4: Simplify right side
    257.42x = 64,033.87
  5. Step 5: Solve for x
    x = 64,033.87/257.42
  6. Step 6: Final answer
    x = 248.76

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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.