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Finding the Fourth Proportional to 256.31, 384.56 and 82.99

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Solution

The fourth proportional to 256.31, 384.56 and 82.99 is: 124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.31 : 384.56 = 82.99 : x
  2. Step 2: Convert to fraction form
    256.31/384.56 = 82.99/x
  3. Step 3: Cross multiply
    256.31x = 384.56 × 82.99
  4. Step 4: Simplify right side
    256.31x = 31,912.30
  5. Step 5: Solve for x
    x = 31,912.30/256.31
  6. Step 6: Final answer
    x = 124.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.