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Finding the Fourth Proportional to 257.35, 355.20 and 168.91

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Solution

The fourth proportional to 257.35, 355.20 and 168.91 is: 233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.35 : 355.20 = 168.91 : x
  2. Step 2: Convert to fraction form
    257.35/355.20 = 168.91/x
  3. Step 3: Cross multiply
    257.35x = 355.20 × 168.91
  4. Step 4: Simplify right side
    257.35x = 59,997.26
  5. Step 5: Solve for x
    x = 59,997.26/257.35
  6. Step 6: Final answer
    x = 233.13

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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.