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Finding the Fourth Proportional to 426.65, 639.71 and 166.44

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Solution

The fourth proportional to 426.65, 639.71 and 166.44 is: 249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.65 : 639.71 = 166.44 : x
  2. Step 2: Convert to fraction form
    426.65/639.71 = 166.44/x
  3. Step 3: Cross multiply
    426.65x = 639.71 × 166.44
  4. Step 4: Simplify right side
    426.65x = 106,472.50
  5. Step 5: Solve for x
    x = 106,472.50/426.65
  6. Step 6: Final answer
    x = 249.56

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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.