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Finding the Fourth Proportional to 423.96, 635.22 and 180.12

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Solution

The fourth proportional to 423.96, 635.22 and 180.12 is: 269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.96 : 635.22 = 180.12 : x
  2. Step 2: Convert to fraction form
    423.96/635.22 = 180.12/x
  3. Step 3: Cross multiply
    423.96x = 635.22 × 180.12
  4. Step 4: Simplify right side
    423.96x = 114,415.83
  5. Step 5: Solve for x
    x = 114,415.83/423.96
  6. Step 6: Final answer
    x = 269.87

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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.