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Finding the Fourth Proportional to 460.27, 690.68 and 167.75

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Solution

The fourth proportional to 460.27, 690.68 and 167.75 is: 251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.27 : 690.68 = 167.75 : x
  2. Step 2: Convert to fraction form
    460.27/690.68 = 167.75/x
  3. Step 3: Cross multiply
    460.27x = 690.68 × 167.75
  4. Step 4: Simplify right side
    460.27x = 115,861.57
  5. Step 5: Solve for x
    x = 115,861.57/460.27
  6. Step 6: Final answer
    x = 251.73

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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.