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Finding the Fourth Proportional to 492.02, 738.16 and 167.41

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Solution

The fourth proportional to 492.02, 738.16 and 167.41 is: 251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.02 : 738.16 = 167.41 : x
  2. Step 2: Convert to fraction form
    492.02/738.16 = 167.41/x
  3. Step 3: Cross multiply
    492.02x = 738.16 × 167.41
  4. Step 4: Simplify right side
    492.02x = 123,573.10
  5. Step 5: Solve for x
    x = 123,573.10/492.02
  6. Step 6: Final answer
    x = 251.16

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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.