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Finding the Fourth Proportional to 300.02, 450.14 and 169.86

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Solution

The fourth proportional to 300.02, 450.14 and 169.86 is: 254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.02 : 450.14 = 169.86 : x
  2. Step 2: Convert to fraction form
    300.02/450.14 = 169.86/x
  3. Step 3: Cross multiply
    300.02x = 450.14 × 169.86
  4. Step 4: Simplify right side
    300.02x = 76,460.78
  5. Step 5: Solve for x
    x = 76,460.78/300.02
  6. Step 6: Final answer
    x = 254.85

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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.