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Finding the Fourth Proportional to 256.53, 385.22 and 243.54

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Solution

The fourth proportional to 256.53, 385.22 and 243.54 is: 365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.53 : 385.22 = 243.54 : x
  2. Step 2: Convert to fraction form
    256.53/385.22 = 243.54/x
  3. Step 3: Cross multiply
    256.53x = 385.22 × 243.54
  4. Step 4: Simplify right side
    256.53x = 93,816.48
  5. Step 5: Solve for x
    x = 93,816.48/256.53
  6. Step 6: Final answer
    x = 365.71

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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.