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Finding the Fourth Proportional to 300.22, 450.33 and 83.77

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Solution

The fourth proportional to 300.22, 450.33 and 83.77 is: 125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.22 : 450.33 = 83.77 : x
  2. Step 2: Convert to fraction form
    300.22/450.33 = 83.77/x
  3. Step 3: Cross multiply
    300.22x = 450.33 × 83.77
  4. Step 4: Simplify right side
    300.22x = 37,724.14
  5. Step 5: Solve for x
    x = 37,724.14/300.22
  6. Step 6: Final answer
    x = 125.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.