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Finding the Fourth Proportional to 299.88, 449.76 and 83.46

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Solution

The fourth proportional to 299.88, 449.76 and 83.46 is: 125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.88 : 449.76 = 83.46 : x
  2. Step 2: Convert to fraction form
    299.88/449.76 = 83.46/x
  3. Step 3: Cross multiply
    299.88x = 449.76 × 83.46
  4. Step 4: Simplify right side
    299.88x = 37,536.97
  5. Step 5: Solve for x
    x = 37,536.97/299.88
  6. Step 6: Final answer
    x = 125.17

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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.