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Finding the Fourth Proportional to 450.36, 675.12 and 189.96

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Solution

The fourth proportional to 450.36, 675.12 and 189.96 is: 284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.36 : 675.12 = 189.96 : x
  2. Step 2: Convert to fraction form
    450.36/675.12 = 189.96/x
  3. Step 3: Cross multiply
    450.36x = 675.12 × 189.96
  4. Step 4: Simplify right side
    450.36x = 128,245.80
  5. Step 5: Solve for x
    x = 128,245.80/450.36
  6. Step 6: Final answer
    x = 284.76

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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.