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Finding the Fourth Proportional to 423.98, 635.97 and 160.49

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Solution

The fourth proportional to 423.98, 635.97 and 160.49 is: 240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.98 : 635.97 = 160.49 : x
  2. Step 2: Convert to fraction form
    423.98/635.97 = 160.49/x
  3. Step 3: Cross multiply
    423.98x = 635.97 × 160.49
  4. Step 4: Simplify right side
    423.98x = 102,062.84
  5. Step 5: Solve for x
    x = 102,062.84/423.98
  6. Step 6: Final answer
    x = 240.73

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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.