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Finding the Fourth Proportional to 289.75, 399.90 and 165.43

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Solution

The fourth proportional to 289.75, 399.90 and 165.43 is: 228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.75 : 399.90 = 165.43 : x
  2. Step 2: Convert to fraction form
    289.75/399.90 = 165.43/x
  3. Step 3: Cross multiply
    289.75x = 399.90 × 165.43
  4. Step 4: Simplify right side
    289.75x = 66,155.46
  5. Step 5: Solve for x
    x = 66,155.46/289.75
  6. Step 6: Final answer
    x = 228.32

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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.