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Finding the Fourth Proportional to 300.77, 451.17 and 146.82

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Solution

The fourth proportional to 300.77, 451.17 and 146.82 is: 220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.77 : 451.17 = 146.82 : x
  2. Step 2: Convert to fraction form
    300.77/451.17 = 146.82/x
  3. Step 3: Cross multiply
    300.77x = 451.17 × 146.82
  4. Step 4: Simplify right side
    300.77x = 66,240.78
  5. Step 5: Solve for x
    x = 66,240.78/300.77
  6. Step 6: Final answer
    x = 220.24

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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.