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Finding the Fourth Proportional to 363.85, 546.85 and 171.61

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Solution

The fourth proportional to 363.85, 546.85 and 171.61 is: 257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.85 : 546.85 = 171.61 : x
  2. Step 2: Convert to fraction form
    363.85/546.85 = 171.61/x
  3. Step 3: Cross multiply
    363.85x = 546.85 × 171.61
  4. Step 4: Simplify right side
    363.85x = 93,844.93
  5. Step 5: Solve for x
    x = 93,844.93/363.85
  6. Step 6: Final answer
    x = 257.92

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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.