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Finding the Fourth Proportional to 363.35, 546.11 and 171.11

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Solution

The fourth proportional to 363.35, 546.11 and 171.11 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.35 : 546.11 = 171.11 : x
  2. Step 2: Convert to fraction form
    363.35/546.11 = 171.11/x
  3. Step 3: Cross multiply
    363.35x = 546.11 × 171.11
  4. Step 4: Simplify right side
    363.35x = 93,441.30
  5. Step 5: Solve for x
    x = 93,441.30/363.35
  6. Step 6: Final answer
    x = 257.17

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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.