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Finding the Fourth Proportional to 256.08, 382.11 and 215.58

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Solution

The fourth proportional to 256.08, 382.11 and 215.58 is: 321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.08 : 382.11 = 215.58 : x
  2. Step 2: Convert to fraction form
    256.08/382.11 = 215.58/x
  3. Step 3: Cross multiply
    256.08x = 382.11 × 215.58
  4. Step 4: Simplify right side
    256.08x = 82,375.27
  5. Step 5: Solve for x
    x = 82,375.27/256.08
  6. Step 6: Final answer
    x = 321.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.