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Finding the Fourth Proportional to 300.61, 450.77 and 146.31

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Solution

The fourth proportional to 300.61, 450.77 and 146.31 is: 219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.61 : 450.77 = 146.31 : x
  2. Step 2: Convert to fraction form
    300.61/450.77 = 146.31/x
  3. Step 3: Cross multiply
    300.61x = 450.77 × 146.31
  4. Step 4: Simplify right side
    300.61x = 65,949.74
  5. Step 5: Solve for x
    x = 65,949.74/300.61
  6. Step 6: Final answer
    x = 219.39

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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.