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Finding the Fourth Proportional to 490.28, 735.01 and 181.93

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Solution

The fourth proportional to 490.28, 735.01 and 181.93 is: 272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.28 : 735.01 = 181.93 : x
  2. Step 2: Convert to fraction form
    490.28/735.01 = 181.93/x
  3. Step 3: Cross multiply
    490.28x = 735.01 × 181.93
  4. Step 4: Simplify right side
    490.28x = 133,718.08
  5. Step 5: Solve for x
    x = 133,718.08/490.28
  6. Step 6: Final answer
    x = 272.74

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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.