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Finding the Fourth Proportional to 257.73, 355.53 and 169.35

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Solution

The fourth proportional to 257.73, 355.53 and 169.35 is: 233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.73 : 355.53 = 169.35 : x
  2. Step 2: Convert to fraction form
    257.73/355.53 = 169.35/x
  3. Step 3: Cross multiply
    257.73x = 355.53 × 169.35
  4. Step 4: Simplify right side
    257.73x = 60,209.35
  5. Step 5: Solve for x
    x = 60,209.35/257.73
  6. Step 6: Final answer
    x = 233.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.