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Finding the Fourth Proportional to 299.76, 449.63 and 83.34

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Solution

The fourth proportional to 299.76, 449.63 and 83.34 is: 125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.76 : 449.63 = 83.34 : x
  2. Step 2: Convert to fraction form
    299.76/449.63 = 83.34/x
  3. Step 3: Cross multiply
    299.76x = 449.63 × 83.34
  4. Step 4: Simplify right side
    299.76x = 37,472.16
  5. Step 5: Solve for x
    x = 37,472.16/299.76
  6. Step 6: Final answer
    x = 125.01

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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.