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Finding the Fourth Proportional to 300, 450.24 and 171.84

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Solution

The fourth proportional to 300, 450.24 and 171.84 is: 257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 450.24 = 171.84 : x
  2. Step 2: Convert to fraction form
    300/450.24 = 171.84/x
  3. Step 3: Cross multiply
    300x = 450.24 × 171.84
  4. Step 4: Simplify right side
    300x = 77,369.24
  5. Step 5: Solve for x
    x = 77,369.24/300
  6. Step 6: Final answer
    x = 257.90

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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.