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Finding the Fourth Proportional to 300.92, 450.70 and 146.97

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Solution

The fourth proportional to 300.92, 450.70 and 146.97 is: 220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.92 : 450.70 = 146.97 : x
  2. Step 2: Convert to fraction form
    300.92/450.70 = 146.97/x
  3. Step 3: Cross multiply
    300.92x = 450.70 × 146.97
  4. Step 4: Simplify right side
    300.92x = 66,239.01
  5. Step 5: Solve for x
    x = 66,239.01/300.92
  6. Step 6: Final answer
    x = 220.12

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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.