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Finding the Fourth Proportional to 492.50, 738.82 and 167.78

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Solution

The fourth proportional to 492.50, 738.82 and 167.78 is: 251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.50 : 738.82 = 167.78 : x
  2. Step 2: Convert to fraction form
    492.50/738.82 = 167.78/x
  3. Step 3: Cross multiply
    492.50x = 738.82 × 167.78
  4. Step 4: Simplify right side
    492.50x = 123,959.22
  5. Step 5: Solve for x
    x = 123,959.22/492.50
  6. Step 6: Final answer
    x = 251.69

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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.