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Finding the Fourth Proportional to 423.51, 635.01 and 179.97

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Solution

The fourth proportional to 423.51, 635.01 and 179.97 is: 269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.51 : 635.01 = 179.97 : x
  2. Step 2: Convert to fraction form
    423.51/635.01 = 179.97/x
  3. Step 3: Cross multiply
    423.51x = 635.01 × 179.97
  4. Step 4: Simplify right side
    423.51x = 114,282.75
  5. Step 5: Solve for x
    x = 114,282.75/423.51
  6. Step 6: Final answer
    x = 269.85

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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.