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Finding the Fourth Proportional to 289.20, 398.96 and 178.62

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Solution

The fourth proportional to 289.20, 398.96 and 178.62 is: 246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.20 : 398.96 = 178.62 : x
  2. Step 2: Convert to fraction form
    289.20/398.96 = 178.62/x
  3. Step 3: Cross multiply
    289.20x = 398.96 × 178.62
  4. Step 4: Simplify right side
    289.20x = 71,262.24
  5. Step 5: Solve for x
    x = 71,262.24/289.20
  6. Step 6: Final answer
    x = 246.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.