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Finding the Fourth Proportional to 300.83, 451.28 and 146.65

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Solution

The fourth proportional to 300.83, 451.28 and 146.65 is: 219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.83 : 451.28 = 146.65 : x
  2. Step 2: Convert to fraction form
    300.83/451.28 = 146.65/x
  3. Step 3: Cross multiply
    300.83x = 451.28 × 146.65
  4. Step 4: Simplify right side
    300.83x = 66,179.87
  5. Step 5: Solve for x
    x = 66,179.87/300.83
  6. Step 6: Final answer
    x = 219.99

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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.