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Finding the Fourth Proportional to 363.28, 546.00 and 171.04

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Solution

The fourth proportional to 363.28, 546.00 and 171.04 is: 257.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.28 : 546.00 = 171.04 : x
  2. Step 2: Convert to fraction form
    363.28/546.00 = 171.04/x
  3. Step 3: Cross multiply
    363.28x = 546.00 × 171.04
  4. Step 4: Simplify right side
    363.28x = 93,389.85
  5. Step 5: Solve for x
    x = 93,389.85/363.28
  6. Step 6: Final answer
    x = 257.07

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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.