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Finding the Fourth Proportional to 289.24, 434.00 and 180.97

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Solution

The fourth proportional to 289.24, 434.00 and 180.97 is: 271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.24 : 434.00 = 180.97 : x
  2. Step 2: Convert to fraction form
    289.24/434.00 = 180.97/x
  3. Step 3: Cross multiply
    289.24x = 434.00 × 180.97
  4. Step 4: Simplify right side
    289.24x = 78,540.08
  5. Step 5: Solve for x
    x = 78,540.08/289.24
  6. Step 6: Final answer
    x = 271.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.