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Finding the Fourth Proportional to 256.28, 384.42 and 119.28

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Solution

The fourth proportional to 256.28, 384.42 and 119.28 is: 178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.28 : 384.42 = 119.28 : x
  2. Step 2: Convert to fraction form
    256.28/384.42 = 119.28/x
  3. Step 3: Cross multiply
    256.28x = 384.42 × 119.28
  4. Step 4: Simplify right side
    256.28x = 45,853.62
  5. Step 5: Solve for x
    x = 45,853.62/256.28
  6. Step 6: Final answer
    x = 178.92

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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.