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Finding the Fourth Proportional to 289.46, 399.42 and 165.13

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Solution

The fourth proportional to 289.46, 399.42 and 165.13 is: 227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.46 : 399.42 = 165.13 : x
  2. Step 2: Convert to fraction form
    289.46/399.42 = 165.13/x
  3. Step 3: Cross multiply
    289.46x = 399.42 × 165.13
  4. Step 4: Simplify right side
    289.46x = 65,956.22
  5. Step 5: Solve for x
    x = 65,956.22/289.46
  6. Step 6: Final answer
    x = 227.86

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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.