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Finding the Fourth Proportional to 289.52, 399.50 and 163.49

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Solution

The fourth proportional to 289.52, 399.50 and 163.49 is: 225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.52 : 399.50 = 163.49 : x
  2. Step 2: Convert to fraction form
    289.52/399.50 = 163.49/x
  3. Step 3: Cross multiply
    289.52x = 399.50 × 163.49
  4. Step 4: Simplify right side
    289.52x = 65,312.26
  5. Step 5: Solve for x
    x = 65,312.26/289.52
  6. Step 6: Final answer
    x = 225.59

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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.