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Finding the Fourth Proportional to 491.97, 738.02 and 167.25

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Solution

The fourth proportional to 491.97, 738.02 and 167.25 is: 250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.97 : 738.02 = 167.25 : x
  2. Step 2: Convert to fraction form
    491.97/738.02 = 167.25/x
  3. Step 3: Cross multiply
    491.97x = 738.02 × 167.25
  4. Step 4: Simplify right side
    491.97x = 123,433.01
  5. Step 5: Solve for x
    x = 123,433.01/491.97
  6. Step 6: Final answer
    x = 250.90

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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.