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Finding the Fourth Proportional to 426.45, 639.57 and 166.36

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Solution

The fourth proportional to 426.45, 639.57 and 166.36 is: 249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.45 : 639.57 = 166.36 : x
  2. Step 2: Convert to fraction form
    426.45/639.57 = 166.36/x
  3. Step 3: Cross multiply
    426.45x = 639.57 × 166.36
  4. Step 4: Simplify right side
    426.45x = 106,397.89
  5. Step 5: Solve for x
    x = 106,397.89/426.45
  6. Step 6: Final answer
    x = 249.50

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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.