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Finding the Fourth Proportional to 464.20, 696.03 and 189.96

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Solution

The fourth proportional to 464.20, 696.03 and 189.96 is: 284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.20 : 696.03 = 189.96 : x
  2. Step 2: Convert to fraction form
    464.20/696.03 = 189.96/x
  3. Step 3: Cross multiply
    464.20x = 696.03 × 189.96
  4. Step 4: Simplify right side
    464.20x = 132,218.45
  5. Step 5: Solve for x
    x = 132,218.45/464.20
  6. Step 6: Final answer
    x = 284.83

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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.