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Finding the Fourth Proportional to 426.96, 640.14 and 166.76

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Solution

The fourth proportional to 426.96, 640.14 and 166.76 is: 250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.96 : 640.14 = 166.76 : x
  2. Step 2: Convert to fraction form
    426.96/640.14 = 166.76/x
  3. Step 3: Cross multiply
    426.96x = 640.14 × 166.76
  4. Step 4: Simplify right side
    426.96x = 106,749.75
  5. Step 5: Solve for x
    x = 106,749.75/426.96
  6. Step 6: Final answer
    x = 250.02

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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.