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Finding the Fourth Proportional to 299.07, 448.55 and 82.59

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Solution

The fourth proportional to 299.07, 448.55 and 82.59 is: 123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.07 : 448.55 = 82.59 : x
  2. Step 2: Convert to fraction form
    299.07/448.55 = 82.59/x
  3. Step 3: Cross multiply
    299.07x = 448.55 × 82.59
  4. Step 4: Simplify right side
    299.07x = 37,045.33
  5. Step 5: Solve for x
    x = 37,045.33/299.07
  6. Step 6: Final answer
    x = 123.87

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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.