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Finding the Fourth Proportional to 289.64, 399.50 and 178.97

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Solution

The fourth proportional to 289.64, 399.50 and 178.97 is: 246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.64 : 399.50 = 178.97 : x
  2. Step 2: Convert to fraction form
    289.64/399.50 = 178.97/x
  3. Step 3: Cross multiply
    289.64x = 399.50 × 178.97
  4. Step 4: Simplify right side
    289.64x = 71,495.62
  5. Step 5: Solve for x
    x = 71,495.62/289.64
  6. Step 6: Final answer
    x = 246.85

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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.