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Finding the Fourth Proportional to 256.54, 384.04 and 169.70

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Solution

The fourth proportional to 256.54, 384.04 and 169.70 is: 254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.54 : 384.04 = 169.70 : x
  2. Step 2: Convert to fraction form
    256.54/384.04 = 169.70/x
  3. Step 3: Cross multiply
    256.54x = 384.04 × 169.70
  4. Step 4: Simplify right side
    256.54x = 65,171.59
  5. Step 5: Solve for x
    x = 65,171.59/256.54
  6. Step 6: Final answer
    x = 254.04

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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.