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Finding the Fourth Proportional to 311.93, 466.89 and 165.48

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Solution

The fourth proportional to 311.93, 466.89 and 165.48 is: 247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.93 : 466.89 = 165.48 : x
  2. Step 2: Convert to fraction form
    311.93/466.89 = 165.48/x
  3. Step 3: Cross multiply
    311.93x = 466.89 × 165.48
  4. Step 4: Simplify right side
    311.93x = 77,258.62
  5. Step 5: Solve for x
    x = 77,258.62/311.93
  6. Step 6: Final answer
    x = 247.68

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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.