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Finding the Fourth Proportional to 256.26, 384.42 and 82.89

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Solution

The fourth proportional to 256.26, 384.42 and 82.89 is: 124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 384.42 = 82.89 : x
  2. Step 2: Convert to fraction form
    256.26/384.42 = 82.89/x
  3. Step 3: Cross multiply
    256.26x = 384.42 × 82.89
  4. Step 4: Simplify right side
    256.26x = 31,864.57
  5. Step 5: Solve for x
    x = 31,864.57/256.26
  6. Step 6: Final answer
    x = 124.34

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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.