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Finding the Fourth Proportional to 299.14, 448.74 and 116.56

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Solution

The fourth proportional to 299.14, 448.74 and 116.56 is: 174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.14 : 448.74 = 116.56 : x
  2. Step 2: Convert to fraction form
    299.14/448.74 = 116.56/x
  3. Step 3: Cross multiply
    299.14x = 448.74 × 116.56
  4. Step 4: Simplify right side
    299.14x = 52,305.13
  5. Step 5: Solve for x
    x = 52,305.13/299.14
  6. Step 6: Final answer
    x = 174.85

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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.