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Finding the Fourth Proportional to 299.00, 448.49 and 82.57

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Solution

The fourth proportional to 299.00, 448.49 and 82.57 is: 123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.00 : 448.49 = 82.57 : x
  2. Step 2: Convert to fraction form
    299.00/448.49 = 82.57/x
  3. Step 3: Cross multiply
    299.00x = 448.49 × 82.57
  4. Step 4: Simplify right side
    299.00x = 37,030.90
  5. Step 5: Solve for x
    x = 37,030.90/299.00
  6. Step 6: Final answer
    x = 123.85

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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.