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Finding the Fourth Proportional to 289.69, 434.49 and 116.23

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Solution

The fourth proportional to 289.69, 434.49 and 116.23 is: 174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.69 : 434.49 = 116.23 : x
  2. Step 2: Convert to fraction form
    289.69/434.49 = 116.23/x
  3. Step 3: Cross multiply
    289.69x = 434.49 × 116.23
  4. Step 4: Simplify right side
    289.69x = 50,500.07
  5. Step 5: Solve for x
    x = 50,500.07/289.69
  6. Step 6: Final answer
    x = 174.32

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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.