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Finding the Fourth Proportional to 488.99, 733.02 and 164.13

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Solution

The fourth proportional to 488.99, 733.02 and 164.13 is: 246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.99 : 733.02 = 164.13 : x
  2. Step 2: Convert to fraction form
    488.99/733.02 = 164.13/x
  3. Step 3: Cross multiply
    488.99x = 733.02 × 164.13
  4. Step 4: Simplify right side
    488.99x = 120,310.57
  5. Step 5: Solve for x
    x = 120,310.57/488.99
  6. Step 6: Final answer
    x = 246.04

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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.