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Finding the Fourth Proportional to 289.96, 400.23 and 173.50

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Solution

The fourth proportional to 289.96, 400.23 and 173.50 is: 239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.96 : 400.23 = 173.50 : x
  2. Step 2: Convert to fraction form
    289.96/400.23 = 173.50/x
  3. Step 3: Cross multiply
    289.96x = 400.23 × 173.50
  4. Step 4: Simplify right side
    289.96x = 69,439.91
  5. Step 5: Solve for x
    x = 69,439.91/289.96
  6. Step 6: Final answer
    x = 239.48

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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.