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Finding the Fourth Proportional to 299.83, 449.82 and 94.39

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Solution

The fourth proportional to 299.83, 449.82 and 94.39 is: 141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.83 : 449.82 = 94.39 : x
  2. Step 2: Convert to fraction form
    299.83/449.82 = 94.39/x
  3. Step 3: Cross multiply
    299.83x = 449.82 × 94.39
  4. Step 4: Simplify right side
    299.83x = 42,458.51
  5. Step 5: Solve for x
    x = 42,458.51/299.83
  6. Step 6: Final answer
    x = 141.61

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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.