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Finding the Fourth Proportional to 492.30, 738.42 and 167.66

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Solution

The fourth proportional to 492.30, 738.42 and 167.66 is: 251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.30 : 738.42 = 167.66 : x
  2. Step 2: Convert to fraction form
    492.30/738.42 = 167.66/x
  3. Step 3: Cross multiply
    492.30x = 738.42 × 167.66
  4. Step 4: Simplify right side
    492.30x = 123,803.50
  5. Step 5: Solve for x
    x = 123,803.50/492.30
  6. Step 6: Final answer
    x = 251.48

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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.