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Finding the Fourth Proportional to 299.54, 449.14 and 116.86

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Solution

The fourth proportional to 299.54, 449.14 and 116.86 is: 175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.54 : 449.14 = 116.86 : x
  2. Step 2: Convert to fraction form
    299.54/449.14 = 116.86/x
  3. Step 3: Cross multiply
    299.54x = 449.14 × 116.86
  4. Step 4: Simplify right side
    299.54x = 52,486.50
  5. Step 5: Solve for x
    x = 52,486.50/299.54
  6. Step 6: Final answer
    x = 175.22

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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.