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Finding the Fourth Proportional to 299.13, 448.64 and 82.66

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Solution

The fourth proportional to 299.13, 448.64 and 82.66 is: 123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.13 : 448.64 = 82.66 : x
  2. Step 2: Convert to fraction form
    299.13/448.64 = 82.66/x
  3. Step 3: Cross multiply
    299.13x = 448.64 × 82.66
  4. Step 4: Simplify right side
    299.13x = 37,084.58
  5. Step 5: Solve for x
    x = 37,084.58/299.13
  6. Step 6: Final answer
    x = 123.97

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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.