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Finding the Fourth Proportional to 423.99, 635.69 and 163.78

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Solution

The fourth proportional to 423.99, 635.69 and 163.78 is: 245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.99 : 635.69 = 163.78 : x
  2. Step 2: Convert to fraction form
    423.99/635.69 = 163.78/x
  3. Step 3: Cross multiply
    423.99x = 635.69 × 163.78
  4. Step 4: Simplify right side
    423.99x = 104,113.31
  5. Step 5: Solve for x
    x = 104,113.31/423.99
  6. Step 6: Final answer
    x = 245.56

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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.