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Finding the Fourth Proportional to 492.33, 738.53 and 167.66

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Solution

The fourth proportional to 492.33, 738.53 and 167.66 is: 251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.33 : 738.53 = 167.66 : x
  2. Step 2: Convert to fraction form
    492.33/738.53 = 167.66/x
  3. Step 3: Cross multiply
    492.33x = 738.53 × 167.66
  4. Step 4: Simplify right side
    492.33x = 123,821.94
  5. Step 5: Solve for x
    x = 123,821.94/492.33
  6. Step 6: Final answer
    x = 251.50

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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.