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Finding the Fourth Proportional to 289.41, 399.42 and 165.09

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Solution

The fourth proportional to 289.41, 399.42 and 165.09 is: 227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.41 : 399.42 = 165.09 : x
  2. Step 2: Convert to fraction form
    289.41/399.42 = 165.09/x
  3. Step 3: Cross multiply
    289.41x = 399.42 × 165.09
  4. Step 4: Simplify right side
    289.41x = 65,941.75
  5. Step 5: Solve for x
    x = 65,941.75/289.41
  6. Step 6: Final answer
    x = 227.85

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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.