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Finding the Fourth Proportional to 423.02, 634.79 and 166.50

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Solution

The fourth proportional to 423.02, 634.79 and 166.50 is: 249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.02 : 634.79 = 166.50 : x
  2. Step 2: Convert to fraction form
    423.02/634.79 = 166.50/x
  3. Step 3: Cross multiply
    423.02x = 634.79 × 166.50
  4. Step 4: Simplify right side
    423.02x = 105,692.54
  5. Step 5: Solve for x
    x = 105,692.54/423.02
  6. Step 6: Final answer
    x = 249.85

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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.