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Finding the Fourth Proportional to 460.82, 691.23 and 168.38

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Solution

The fourth proportional to 460.82, 691.23 and 168.38 is: 252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.82 : 691.23 = 168.38 : x
  2. Step 2: Convert to fraction form
    460.82/691.23 = 168.38/x
  3. Step 3: Cross multiply
    460.82x = 691.23 × 168.38
  4. Step 4: Simplify right side
    460.82x = 116,389.31
  5. Step 5: Solve for x
    x = 116,389.31/460.82
  6. Step 6: Final answer
    x = 252.57

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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.