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Finding the Fourth Proportional to 492.40, 738.39 and 167.62

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Solution

The fourth proportional to 492.40, 738.39 and 167.62 is: 251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.40 : 738.39 = 167.62 : x
  2. Step 2: Convert to fraction form
    492.40/738.39 = 167.62/x
  3. Step 3: Cross multiply
    492.40x = 738.39 × 167.62
  4. Step 4: Simplify right side
    492.40x = 123,768.93
  5. Step 5: Solve for x
    x = 123,768.93/492.40
  6. Step 6: Final answer
    x = 251.36

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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.