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Finding the Fourth Proportional to 299.56, 448.96 and 116.84

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Solution

The fourth proportional to 299.56, 448.96 and 116.84 is: 175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.56 : 448.96 = 116.84 : x
  2. Step 2: Convert to fraction form
    299.56/448.96 = 116.84/x
  3. Step 3: Cross multiply
    299.56x = 448.96 × 116.84
  4. Step 4: Simplify right side
    299.56x = 52,456.49
  5. Step 5: Solve for x
    x = 52,456.49/299.56
  6. Step 6: Final answer
    x = 175.11

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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.