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Finding the Fourth Proportional to 289.53, 399.61 and 165.26

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Solution

The fourth proportional to 289.53, 399.61 and 165.26 is: 228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.53 : 399.61 = 165.26 : x
  2. Step 2: Convert to fraction form
    289.53/399.61 = 165.26/x
  3. Step 3: Cross multiply
    289.53x = 399.61 × 165.26
  4. Step 4: Simplify right side
    289.53x = 66,039.55
  5. Step 5: Solve for x
    x = 66,039.55/289.53
  6. Step 6: Final answer
    x = 228.09

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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.