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Finding the Fourth Proportional to 299.53, 449.31 and 83.10

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Solution

The fourth proportional to 299.53, 449.31 and 83.10 is: 124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.53 : 449.31 = 83.10 : x
  2. Step 2: Convert to fraction form
    299.53/449.31 = 83.10/x
  3. Step 3: Cross multiply
    299.53x = 449.31 × 83.10
  4. Step 4: Simplify right side
    299.53x = 37,337.66
  5. Step 5: Solve for x
    x = 37,337.66/299.53
  6. Step 6: Final answer
    x = 124.66

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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.