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Finding the Fourth Proportional to 256.97, 354.92 and 173.94

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Solution

The fourth proportional to 256.97, 354.92 and 173.94 is: 240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.97 : 354.92 = 173.94 : x
  2. Step 2: Convert to fraction form
    256.97/354.92 = 173.94/x
  3. Step 3: Cross multiply
    256.97x = 354.92 × 173.94
  4. Step 4: Simplify right side
    256.97x = 61,732.58
  5. Step 5: Solve for x
    x = 61,732.58/256.97
  6. Step 6: Final answer
    x = 240.23

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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.