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Finding the Fourth Proportional to 289.85, 434.63 and 166.43

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Solution

The fourth proportional to 289.85, 434.63 and 166.43 is: 249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.85 : 434.63 = 166.43 : x
  2. Step 2: Convert to fraction form
    289.85/434.63 = 166.43/x
  3. Step 3: Cross multiply
    289.85x = 434.63 × 166.43
  4. Step 4: Simplify right side
    289.85x = 72,335.05
  5. Step 5: Solve for x
    x = 72,335.05/289.85
  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.