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Finding the Fourth Proportional to 311.29, 466.33 and 173.92

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Solution

The fourth proportional to 311.29, 466.33 and 173.92 is: 260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.29 : 466.33 = 173.92 : x
  2. Step 2: Convert to fraction form
    311.29/466.33 = 173.92/x
  3. Step 3: Cross multiply
    311.29x = 466.33 × 173.92
  4. Step 4: Simplify right side
    311.29x = 81,104.11
  5. Step 5: Solve for x
    x = 81,104.11/311.29
  6. Step 6: Final answer
    x = 260.54

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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.