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Finding the Fourth Proportional to 299.09, 448.64 and 116.47

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Solution

The fourth proportional to 299.09, 448.64 and 116.47 is: 174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.09 : 448.64 = 116.47 : x
  2. Step 2: Convert to fraction form
    299.09/448.64 = 116.47/x
  3. Step 3: Cross multiply
    299.09x = 448.64 × 116.47
  4. Step 4: Simplify right side
    299.09x = 52,253.52
  5. Step 5: Solve for x
    x = 52,253.52/299.09
  6. Step 6: Final answer
    x = 174.71

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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.