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Finding the Fourth Proportional to 492.82, 739.01 and 146.04

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Solution

The fourth proportional to 492.82, 739.01 and 146.04 is: 218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.82 : 739.01 = 146.04 : x
  2. Step 2: Convert to fraction form
    492.82/739.01 = 146.04/x
  3. Step 3: Cross multiply
    492.82x = 739.01 × 146.04
  4. Step 4: Simplify right side
    492.82x = 107,921.33
  5. Step 5: Solve for x
    x = 107,921.33/492.82
  6. Step 6: Final answer
    x = 218.99

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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.