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Finding the Fourth Proportional to 299.06, 448.52 and 82.65

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Solution

The fourth proportional to 299.06, 448.52 and 82.65 is: 123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.06 : 448.52 = 82.65 : x
  2. Step 2: Convert to fraction form
    299.06/448.52 = 82.65/x
  3. Step 3: Cross multiply
    299.06x = 448.52 × 82.65
  4. Step 4: Simplify right side
    299.06x = 37,069.76
  5. Step 5: Solve for x
    x = 37,069.76/299.06
  6. Step 6: Final answer
    x = 123.96

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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.