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Finding the Fourth Proportional to 300.54, 451.04 and 146.46

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Solution

The fourth proportional to 300.54, 451.04 and 146.46 is: 219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.54 : 451.04 = 146.46 : x
  2. Step 2: Convert to fraction form
    300.54/451.04 = 146.46/x
  3. Step 3: Cross multiply
    300.54x = 451.04 × 146.46
  4. Step 4: Simplify right side
    300.54x = 66,058.59
  5. Step 5: Solve for x
    x = 66,058.59/300.54
  6. Step 6: Final answer
    x = 219.80

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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.