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Finding the Fourth Proportional to 256.28, 384.42 and 82.98

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Solution

The fourth proportional to 256.28, 384.42 and 82.98 is: 124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.28 : 384.42 = 82.98 : x
  2. Step 2: Convert to fraction form
    256.28/384.42 = 82.98/x
  3. Step 3: Cross multiply
    256.28x = 384.42 × 82.98
  4. Step 4: Simplify right side
    256.28x = 31,899.17
  5. Step 5: Solve for x
    x = 31,899.17/256.28
  6. Step 6: Final answer
    x = 124.47

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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.