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Finding the Fourth Proportional to 256.56, 384.82 and 83.22

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Solution

The fourth proportional to 256.56, 384.82 and 83.22 is: 124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.56 : 384.82 = 83.22 : x
  2. Step 2: Convert to fraction form
    256.56/384.82 = 83.22/x
  3. Step 3: Cross multiply
    256.56x = 384.82 × 83.22
  4. Step 4: Simplify right side
    256.56x = 32,024.72
  5. Step 5: Solve for x
    x = 32,024.72/256.56
  6. Step 6: Final answer
    x = 124.82

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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.