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Finding the Fourth Proportional to 256.92, 384.75 and 134.91

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Solution

The fourth proportional to 256.92, 384.75 and 134.91 is: 202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.92 : 384.75 = 134.91 : x
  2. Step 2: Convert to fraction form
    256.92/384.75 = 134.91/x
  3. Step 3: Cross multiply
    256.92x = 384.75 × 134.91
  4. Step 4: Simplify right side
    256.92x = 51,906.62
  5. Step 5: Solve for x
    x = 51,906.62/256.92
  6. Step 6: Final answer
    x = 202.03

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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.