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Finding the Fourth Proportional to 256.92, 384.97 and 112.47

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Solution

The fourth proportional to 256.92, 384.97 and 112.47 is: 168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.92 : 384.97 = 112.47 : x
  2. Step 2: Convert to fraction form
    256.92/384.97 = 112.47/x
  3. Step 3: Cross multiply
    256.92x = 384.97 × 112.47
  4. Step 4: Simplify right side
    256.92x = 43,297.58
  5. Step 5: Solve for x
    x = 43,297.58/256.92
  6. Step 6: Final answer
    x = 168.53

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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.