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Finding the Fourth Proportional to 289.70, 399.77 and 165.37

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Solution

The fourth proportional to 289.70, 399.77 and 165.37 is: 228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.70 : 399.77 = 165.37 : x
  2. Step 2: Convert to fraction form
    289.70/399.77 = 165.37/x
  3. Step 3: Cross multiply
    289.70x = 399.77 × 165.37
  4. Step 4: Simplify right side
    289.70x = 66,107.14
  5. Step 5: Solve for x
    x = 66,107.14/289.70
  6. Step 6: Final answer
    x = 228.19

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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.